The first I calculated the number of combinations fo In howmany ways can this be done whenat least 2 women are included ? WebSOLUTION: A five member committee is being formed from group of 9 sophomores and 12 seniors. 6. 2 0 obj << D. 720. So we have overcounted. Web29 likes, 7 comments - Streetz 94.5 (@mystreetz945atl) on Instagram: "The committee that oversees the Olympics is debating adding twerking to the Olympic games. First week only $4.99! %}8?^C~IZ=V!f2?+htm:fw*tW/v!nr>)U@|mg}*RL ccp7L2|f~.Y.kB]HO3xW
X?i~.:S]1MPU%VL80(:`4* The shortlist consists of 9 men and 6 women. In how many ways We can look at each term individually: is the number of ways that a committee of size 0 can be chosen, is the number of ways that a committee of size 1 can be chosen, and so on. stream In how many ways can they line up for recess? We use which is called a binomial coefficient. In a given examination, a student is required to answer 5 of the 7 questions including 3 of the first 4 questions. The committee forming method can be a very powerful tool for proving combinatorial identities. The phrasing "at least one" means "one or more". In how many ways can you arrange 5 books in a bookshelf? Businesses alsoearn $1.44 backfor every dollar invested in their Registered Apprenticeship program. =2! Study Materials. How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and 11 juniors? Web4.1K views, 50 likes, 28 loves, 154 comments, 48 shares, Facebook Watch Videos from 7th District AME Church: Thursday Morning Opening Session WebThe number of ways that the committee can be formed so that the committee contains at least one boy and one girl is. 1 spot he so desires? Now all you have to do is to add the 3 cases up. a. all If more than one such word can be formed, give X as the answer. If each of the vowels in the word 'MEAT' is kept unchanged and each of the consonants is replaced by the previous letter in the English alphabet, how many four-lettered meaningful words can be formed with the new letters, using each letter only once in each word? * frac{10!}{0! * 8!} x_!FkeA0'1A$p&9HX('@X*P[/p_T*,?-V=veu]cs2\vMooWZ
]7[a:a~hwa0\o6h{Y\ A five-member expert committee has been appointed to find out the problems in the Principals Service and propose solutions for them. WebA committee of 11 members is to be formed from 5 females. WebAn explanation for the correct answer: Step 1: Find the possible number of ways the committee can be formed. Despite these benefits, the Registered Apprenticeship system is significantly underfunded. WebFrom a group of 7 men and 6 women five persons are to be selected to form a committee so that at least three men are there in the committee.In how many ways can it be done? These resources will help scale up apprenticeship opportunities, streamline access to apprenticeships for both workers and employers, and expand apprenticeships into new and in-demand industry sectors and occupations. How many ways can the committee be formed if it has to have at least 2 women? The third letter of the word is R. /Contents 3 0 R A: We have to apply the concept of combinations to find the number ways in each cases. The three people will be selected from a list of five possible committee members. In general, if you have #m# items of one type and #n# things of another type, how many possible You have created a (random) 5-digit password for your computer. All the Principals Trade Unions have been requested to send their suggestions and proposals by the committee. The EESC is made up of 329 members from its 27 Member States. WASHINGTON, DCToday, House Education and the Workforce Committee Ranking Member Bobby Scott (VA-03) and Congressman Brian Fitzpatrick (PA-01), along with a group of bipartisan Members, announced the introduction of theNational Apprenticeship Act of 2023. so kindly, A: As you have asked many questions. The EESC is made up of 329 members from its 27 Member States. How many ways if, in addition, one particular man and one particular woman who are members of the club, refuse to serve together on the committee.? #((15),(4)) * ((10),(2)) = frac{15!}{4! %PDF-1.4 (b) 2 are boys and 3 are girls? /ProcSet [ /PDF /Text ] If you want any, A: There are totally 16 people in which divided into five groups containing respectively 4,2,3,6 and 1, A: a) Since each position is distinct, so for this problem order matters. x[Ko6WtN\")*@0$b wvHLDugco{q,U_UBB+_(qjQB"_^&6e^LkI_/UVAA6@+7@3nC$w/J'>L/yYU@;C3bk%Wd\"wI`2[Gj\H= Since there are two possibilities for each person and each person is independent of every other person, there are committees. A: The number of men who can play any of the positions is, n = 8 3. If you want to get the answer, A: Since the student has posted multiple questions and does not mention any specific question, so we, A: Note: As per Bartleby Guidelines, only 3 subparts of a question can be solved at a time. Age of 50 members =60 The Minister of Education, Dr. Susil Premajayantha appointed Committee consisting of five members, to investigate the problems and shortcomings of the Sri Lankan Principals Service and immediately report solutions for them. So, there are 2300 different committees that can be formed. Thus, the problem can be restated as finding the number of committees of any size that can be formed from a group of people. A: Here 3 paper toys, 7 rubber toys, and 5 plastic toy so total 15 toys, A: From the given information, juniors? WebIn how many ways can a committee of five be formed if (a) all the members are boys? These members are not politicians but employers, trade unionists and Example 33 . In how many ways can 5 people stand in a line if one person demands to be first? The total number of members in the club is: n=43 (c) there are equal number of seniors and juniors in each committee? I am proud to lead a bipartisan coalition introducing the National Apprenticeship Act, which will provide much needed reinforcement and reauthorization of our registered apprenticeship programs and will aim to create one million new apprentice positions in the next five years.. If it is possible to make a meaningful word with the first, the seventh, the ninth and the tenth letters of the word RECREATIONAL, using each letter only once, which of the following will be the third letter of the word? 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Thus after arranging the letters as per English alphabetical series; we get; Thus 4th letter from the left end will be K. How many such pair of letters are there in the word TROUBLED which have as many letters between them in the word as they have between them in the English alphabet? There are 10 faculty members and 11 students eligible to serve on the committee. = 5005xx1#. Last Congress, the HousepassedtheNational Apprenticeship Act of 2021witha bipartisan vote of 247-173. WebA five-person committee consisting of students and teachers is being formed to study the issue of student parking privileges. 2. Since there are ways in which each distinct committee could have been chosen, we divide our result by 6 to get . A: Determine the number of ways that a 4-person committee where everyone is considered equal. 6. Total number of hoses to be build (n) =9 Committee forming is one technique for solving certain combinatorics problems. Find the number of ways to choose a committee of size 4 from a group of 8 people. If no such word can be formed, give Z as the answer. So by the multiplication principle there would be total committees. WebA committee of 5 is to be formed from 9 ladies and 8 men, if the committee commands a lady majority, then the number of ways this can be done, is Medium View solution > A As per the answering guidelines we will solve first question only., A: Number of ways of arranging two children From the given club a president, a, A: Let the age of 20 other members be x years. only five? b) What is the probability that all members are Republicans? Answer link. Meaningful word from these letters is only TORN. Read the fact sheet on theNational Apprenticeship Act of 2023here. stream 3. NCERT Solutions For Class 12. /MediaBox [0 0 595.276 841.89] A committee of 10 persons is to be formed from a group of 10 women and 8 men. The number of ways in which the committee can be formed so that the committee must contain atleast one Three slips of paper are dropped in a hat. questions. (c) 2 are red and 1 is yellow? A box contains 2 red, 5 blue, and 5 yellow balls. Number of ways of arranging three adults, A: The total number of members in the club is: n=20 What is the difference between combinations and permutations? How many ways can a committee of size 3 be chosen from a group of 10 people if one of the 3 people on the committee is designated as the president? How bickering politicians failed Pakistan's Constitution, Salman Khan's show to light up East Bengal celebrations, Operation Kaveri: First batch of 278 Indians leaves Sudan, Bloodstains, knife found inside Atiqs demolished office: Cops, Terms of Use and Grievance Redressal Policy. box such that 7. In how ways can 3 balls be drawn from the box? A committee of 5 is to be chosen from a group of 9 people.Number of ways in which it can be formed if two particular persons either serve together or not at all and >> endobj The Defense Subcommittee consists of 19 members, 10 Republicans and 9 Democrats. (c) 2 are red and 1 is yellow? (a) they are all blue? Each couple can send only one "representative" to the committee. WebQuestion: A five-member committee is to be formed from a group of five men and seven women. We are pleased with todays bipartisan introduction of the National Apprenticeship Act of 2023. Now, with the condition that there must be more women than men, we are left with only 3 options: 4w+2m, 5w+1m and 6w+0m. If the committee must include at least two men and two women. /Length 3653 35995 views The House alsoincludeda revised version of that legislation in the House-passedAmerica COMPETES Act. WebThe Commission will annually review and determine the continuing need for an advisory committee established by the Commission. The U.S. spends only about 0.1 percent of gross domestic product (GDP) on workforce training and employment programs, while peer industrialized nations spend roughly six times as much as a share of their GDP. A box contains 2 red, 5 blue, and 5 yellow balls. WebSo, lets consider the example again, in a slightly more complicated form. * frac{10!}{1! a) how many (b) 2 are boys and 3 are girls? In how ways can 3 balls be drawn from the box? How many different committees with 4 members can be formed from a group with 7 seniors and 6 juniors if (a) they are all seniors? WebStatistics and Probability questions and answers 1) A five member committee has to be formed from a special group of 7 Republicans and 8 Democrats.a) In how many ways can we form this committee? US President announces 2024 re-election bid, K'taka live: 'Won't scrap Muslim quota till SC hearing ends'. The first, the seventh, the ninth and the tenth letters of the word RECREATIONAL are R, T, O and N respectively. 1.there are no restrictions, A: Combinations are selections made by taking some or all of a number of objects, irrespective of their. /Length 4337 '1G.1[0F1(HFC8ZaC(b{9Of=TTvH~sa@4I8O[q4I3d-Ou/,i$
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NBQIb#Au).dlx3L6,VLx:3 tz?? My tenure is almost over. We look forward to working with Republicans and Democrats to move and pass this timely legislation,said Sean McGarvey, President of North Americas Building Trades Unions (NABTU). In how many ways can he answer the examination. Total number of ways of forming the committees. Committee Y has 5 members: Choosing one out of 5 = 5 C 1 = 5. a red, a green and a blue. In the. A: Given Data: * 11!} We have to select a committee of 5 different person taken 3 at a time Here, n = 5 r = 3 The required number of ways = nCr = 5C3 = 5!/3! endobj WebSolution Number of women = 10 Number of men = 8 Number of persons in the team = 10 A committee of 10 persons consisting of at least 5 women can be formed as follows: (I) 5 women and 5 men or (II) 6 women and 4 men or (III) 7 women and 3 man or (IV) 8 women and 2 man or (V) 9 women and 1 man or (VI) 10 women A committee of 5 is to be chosen from a club that boast a membership of 10 men and 12 women. First, we'll introduce committee forming with a simple example. Solution. (b) 2 are boys and 3 are girls? The ratio of the members of blue to red balls in abag is constant. In how many different ways can there be a president and a vice-president? Question "20. Then there would be 12 possibilities for the first person, 11 for the second person, and 10 A box contains 2 red, 5 blue, and 5 yellow balls. If the committee members are to be chosen from 14 men and 14 women, how many different committees Then there would be 12 possibilities for the first person, 11 for the second person, and 10 for the last person. How many ways are there to form a committee with six members if it must have more women than men? This subtraction works because you basically have two scenarios The National Apprenticeship Act of 2023 is a clear win-win for workers and employers, and it will help grow the economy. In how many ways can a committee of five be formed if (a) all the members are boys? A simple random sample of three people is taken, without replacement, from the group of five people. around the world. Now is the time to strengthen and expand Registered Apprenticeship into other industries, for both blue and white collar jobs, who need to recruit and retain a well trained workforce. A: 6) Given that, (A) Committees will consist of a minimum of five members and a maximum of nine members, unless mandated otherwise by legislative action. How many different sums are possible. In how many ways can three balls be drawn from the box such that (a) they are all blue? (b) there are 3 seniors and 1 junior? 8. How many different ways can the members of the Defense >> /Font << /F17 6 0 R /F15 9 0 R /F19 12 0 R /F28 15 0 R /F20 18 0 R /F25 21 0 R /F22 24 0 R >> = 1365xx45#, #((15),(5)) * ((10),(1)) = frac{15!}{5! The numbers 1, 3, and 9 are written on them, respectively. WebA committee of 5 members is to be formed from 6 boys and 5 girls. Another way to do this is to consider the following 2 cases: 1) P1 and P2 serve together: $\;\;\displaystyle \binom{7}{3}-\binom{5}{1}=35-5=30$ ch A box contains 2 red, 5 blue, and 5 yellow balls. or, 2 women, 3 men : It can be done in 4C2*6C3ways. A box contains 2 red, 5 blue, and 5 yellow balls. /Parent 25 0 R * 10!} WebSince there A = 252 ways to form a committee of juniors+seniors, and 6 ways to form a committee of nothing but seniors, this must mean there are A-B = 252-6 = 246 ways to form a committee where there is at least one junior. A committee of 5 members is to be formed from 6 boys and 5 girls. rJV#o7BKM=L*lJ[wI(>MWQ3.2qHvfRzcLU:*6:@:B!UqAHop8Ul\NZ?0#tAfwgyk~)L/%2aJKCC#4uAWq9$K 8 55!4?,"fxQ7'dO(~Er1*a'"UI\qvML
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The bill would create nearly one million new Registered /Type /Page 3 0 obj << Number of women = 10Number of men = 8Number of persons in the team = 10A committee of 10 persons consisting of at least 5 women can be formed as follows:(I) 5 women and 5 men or(II) 6 women and 4 men or(III) 7 women and 3 man or(IV) 8 women and 2 man or(V) 9 women and 1 man or(VI) 10 womenThe number of ways of forming the committee:(I) 5 women and 5 men, = `(10 xx 9 xx 8 xx 7 xx 6 xx 5 xx 4)/(5 xx 4 xx 3 xx 2 xx 1) xx (8 xx 7 xx 6)/(3 xx 2 xx 1)`, = (2 9 2 7) (8 7)= 14112(II) 6 women and 4 men, = `(10 xx 9 xx 8 xx 7)/(4 xx 3 xx 2 xx 1) xx (8 xx 7 xx 6 xx 5)/(4 xx 3 xx 2 xx 1)`, = (5 2 3 7) (2 7 5)= 14700(III) 7 women and 3 men, = `(10 xx 9 xx 8)/(3 xx 2 xx 1) xx (8 xx 7 xx 6)/(3 xx 2 xx 1)`, = (10 12) (8 7)= 6720(IV) 8 women and 2 men, = `(10 xx 9)/(2 xx 1) xx (8 xx 7)/(2 xx 1)`, = (5 9) (4 7)= 1260(V) 9 women and 1 men, = `""^10"C"_10`= 1Hence, the number of ways of forming the required committee= 14112 + 14700 + 6720 + 1260 + 80 + 1= 36873For men to be in majority, the committee should have 6 or more men.Following are the possibilities:(I) 6 men and 4 women or(II) 7 men and 3 women or(III) 8 men and 2 womenThe number of ways of forming the committee:(I) 6 men and 4 women, = `(8 xx 7)/(1 xx 2) xx (10 xx9 xx 8 xx 7)/(1 xx 2 xx 3 xx 4)`, = 45Hence, number of ways of forming the required committee= 5880 + 960 + 45= 6885, Chapter 6: Permutations and Combinations - Exercise 6.7 [Page 90], Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board, Maharashtra Board Question Bank with Solutions (Official), Mumbai University Engineering Study Material, CBSE Previous Year Question Paper With Solution for Class 12 Arts, CBSE Previous Year Question Paper With Solution for Class 12 Commerce, CBSE Previous Year Question Paper With Solution for Class 12 Science, CBSE Previous Year Question Paper With Solution for Class 10, Maharashtra State Board Previous Year Question Paper With Solution for Class 12 Arts, Maharashtra State Board Previous Year Question Paper With Solution for Class 12 Commerce, Maharashtra State Board Previous Year Question Paper With Solution for Class 12 Science, Maharashtra State Board Previous Year Question Paper With Solution for Class 10, CISCE ICSE / ISC Board Previous Year Question Paper With Solution for Class 12 Arts, CISCE ICSE / ISC Board Previous Year Question Paper With Solution for Class 12 Commerce, CISCE ICSE / ISC Board Previous Year Question Paper With Solution for Class 12 Science, CISCE ICSE / ISC Board Previous Year Question Paper With Solution for Class 10, HSC Commerce: Marketing and Salesmanship 11th Maharashtra State Board, HSC Commerce (English Medium) 11th Maharashtra State Board. (4) Committee Members. These members are not politicians but employers, trade unionists and The, A: Since you have asked multiple question, we will solve the first question for you. The bill is also led by 18 House Democrats and 15 House Republicans:Rep. Donald Norcross (NJ-01), Rep.Mark Pocan (WI-02), Rep.Teresa Leger Fernandez (NM-03),Rep.Lucy McBath (GA-07), Rep. Mark DeSaulnier (CA-10), Rep. Haley Stevens (MI-11), Rep. Gregorio Kilili Camacho Sablan (At-Large-NMI), Rep. Frederica Wilson (FL-24), Rep. Joe Courtney (CT-02), Rep. Jahana Hayes (CT-05), Rep. Raul M. Grijalva (AZ-07), Rep. Alma Adams (NC-12), Rep. Susan Wild (PA-07), Rep. Kathy Manning (NC-06), Rep. Mark Takano (CA-39), Rep. Suzanne Bonamici (OR-01), Rep. Lori Trahan (MA-03), Rep. Ilhan Omar (MN-05), Rep. Don Bacon (NE-02), Rep. Mike Bost (IL-12), Rep. Mike Carey (OH-15), Rep. Lori Chavez-DeRemer (OR-05), Rep. Anthony DEsposito (NY-04), Rep. Andrew Garbarino (NY-02), Rep. Bill Johnson (OH-06), Rep. David Joyce (OH-14), Rep. Thomas Kean Jr. (NJ-07), Rep. Nicholas LaLota (NY-01), Rep. Mike Lawler (NY-17), Rep. Nicole Malliotakis (NY-11), Rep. Max Miller (OH-07), Rep. Marc Molinaro (NY-19), and Rep. Pete Stauber (MN-08). 2. Here is a problem for you practice: Solve the following problem. Committee of state lawmakers formed to review Georgia tax credits. rP?6C~\|wQ_m~^9T\02LFdEPNDh>{4PN_Z]c&GGZ)BN c) What is the probability that there are at least two Democrats? = 3003xx10#, #((15),(6)) * ((10),(0)) = frac{15!}{6! (A) Committees will consist of a minimum of five members and a maximum of nine members, unless mandated otherwise by legislative action. (2 1)) = 5 2 = 10 ways Total 2 men and 3 women Committees would consist of 1 man and 2 women Now we have to select 1 man from 2 men So, n = 2 r = 1 Number of Explanation: First we ask, how many ways are there to choose #r# objects out of #n# distinct There are total (5+8)=13, A: Permutation is a method in mathematics that is used to find the number of ways in which certain. Note: there is a special notation for expressing the number of ways to choose a committee of size from a set of size . How many committees can be formed by the given condition? In how many ways can a student answer an exam if out of the 6 problems, he is required to answer only five? juniors if The bill would create nearly one million new Registered (4) Committee Members. A coin club has five members. 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6Txvv\ Read the section-by-section summary of theNational Apprenticeship Act of 2023here. (d) they are of different colors? (d) they are of different colors? In how many ways can a committee of 5 members be formed from 4 women and 6 men such that at least 1 woman is a member of the committee? A committee of 11 members is to be formed from\n8 males and 5 females. * 9!} /Filter /FlateDecode My tenure is almost over. What was the ratio of green to pink tokens? In how many ways can it be formed? Will Ajit Pawar ever get the no. (c) there are equal number of seniors and juniors in each committee? A box contains 2 red, 5 blue, and 5 yellow balls. So for example, how many ways are there to choose #2# men out of #10# men? However, the order we choose them does not matter. There are 7 children in a classroom. * 9!} How many committees of 3 people can be formed from a group of 12 people? How do you calculate permutations on the TI-84? A five-member expert committee has been appointed to find out the problems in the Principals Service and propose solutions for them. (b) there are 3 seniors and 1 junior? A class consists of 12 boys and 10 girls. Each person can either be in the committee or not in the committee. 8. CHENNAI: IIT-Madras on Tuesday formed a five-member inquiry panel headed by former DGP G Thilakavathi to probe the March 31 suicide of research scholar a) how many different ways can the committee be selected? 5. In how many ways can a committee of five be formed if In how many ways can this be done when at least 2 women are included ? The committee consisting of five experts in the fields of education and education administration, including Prof.Gunapala Nanayakkara, advisor to the Ministry of Education, has already started its work. /Resources 1 0 R How many different committees of 4 members can be formed from a group. * frac{10!}{2! 1 0 obj << 14 people apply for a job. First we ask, how many ways are there to choose #r# objects out of #n# distinct objects? 6. One c" A: First find in how many ways can women and men be chosen. @XI[m6=oO T;a?\=6Faw;[Ep. We have been given that, a committee of five is to be WebQuestion: A five-member committee is to be formed from a group of five men and seven women. JavaScript is not enabled. Labor Leaders Introduce Bipartisan Bill to Expand Apprenticeships, Town Halls, Roundtables & Community Forums, Hurricane and Tropical Storm Preparedness, Surface Transportation Authorization Act Disclosures. (a) all the members are boys? WebA committee is to be formed consisting of 5 men and 3 women. According to the Department of Labor (DOL),93 percent of peoplewho complete a Registered Apprenticeship are employed upon completion, earning an average starting wage of above$77,000 annually. Democrats and Republicans came together in the last two Congresses to pass this bill, which would create nearly one million new apprenticeships, expand access to these opportunities for a more diverse group of workers and industries, and strengthen apprenticeship programs for the next generation of workers. From a pack of 52 cards, 3 cards are drawn together atrandom, What is the probability of both the cards are king? Related questions. k6/ p@x
Lsdo0{/.Ejf/B3 Any number of slips are pulled from the hat and the numbers written on them are added together. There are 5 couples and they are to be seated in a round table such that each couple, A: This Problem can be solved by permutation and combination. Govt has formed a 3-member committee and elections will be held in 45 days & my term will end after the elections: What is the lewis structure for hcn? Question . The Committee consisting of experts in the fields of education and administration, including Prof.Gunapala The ratio of the members of blue to red balls in abag is constant. In how many different ways the committee can be formed if it should have at 28 0 obj << 4. How many different committees of 4 members can be formed from a group. The Registered Apprenticeship system is one of the best tools we have to connect workers with in-demand skills with good-paying jobs, as well as provide employers with a pipeline of talented workers,said Ranking Member Scott. Poll: Do you support Rahane's inclusion in WTC final squad? = 5!/3!2! WebClick hereto get an answer to your question A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 woman. Web10. If m is the number of ways the committee is formed with at least 6 males ad n is the number of ways the committee is formed with at least 3 females, then? In how many ways can you rearrange the letters A, B, C, D, E? }gm 0Rf[dFlY 08Qo=C A7H(gNp1n2*4 BvbvPE8?b$3u:EsDZytkV5nrIqjn6S|IN-l"61>1Mhz36z5x BD=wOSO(I7@qHPM_(OJXt!6);asN2pc))"9hBBoPS4Mb6v3SS2~ -Ep@f hI:3.
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y>n/]Yy!w,22.zA--!167@g+{Hb~z[qOSR|( hG2XGW$( }endstream Committee of state lawmakers formed to review Georgia tax credits. Why no FIR against WFI chief Brij Bhushan Singh, SC asks Delhi police, Live: Have developed new work culture in India in last 9 yrs, says PM. = (5 4 3! There are 9 students in a club. How many possible committees will have at least 5 women? From here on in this article, we will use this notation. In how many ways can the committee be formed? E. 792. They then work independently in the interests of all EU citizens. Only 2 7. WASHINGTON, DC Today, House Education and the Workforce Committee Ranking Member Bobby Scott (VA-03) and Congressman Brian Fitzpatrick (PA-01), along with a group of bipartisan Members, announced the introduction of the National Apprenticeship Act of 2023. (a) they are all seniors? 5. WebIn how many ways can a committee of $5$ members be formed from $4$ women and $6$ men such that at least $1$ woman is a member of the committee. Three students are to be chosen to be on the entertainment See all questions in Combinations and Permutations. C%M~]]/WSG-Sqp8CsS(.U8:7ybG:TjSXRa#aK\/.ol[O*iFlvL57[i(9m=5=>T$f,Vz|W\kXV.eD FOkTvf ^wZjP&

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