Given a class of 12 girls and 10 boys. In how many ways can a committee of five consisting of at least 3 girls?

Q: A committee has 20 people.  In how many ways can a President, Vice-President, and Secretary be…

A: Note:  Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

Q: A club has seven members. Three are to be chosen to go as a group to a national meeting. If the club…

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Q: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

Q: In how many ways can a class of 32 students select four people to serve on a committee?

A: Total number of students in the class (n) = 32 Number of students to be selected to serve on a…

Q: In how many ways can a committee of 5 people be chosen out of 9 people?

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Q: In how many ways can a committee of 2 be chosen from 7 people?

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Q: In how many ways can a committee of three men and two women from eight men and six women

A: given data  make committee of 3 men and 2 womens from 8 mens and 6 womens.

Q: How many 7-member committees could you form from a set of 10 people?

A: Given: Total number of individuals=10Number of members to be taken in 1 committee=7

Q: How many 7-member committees could you form from a set of 9 people?

A: There are total 9 people.  We have to select 7 people from them. Since we are forming a committee,…

Q: How many 5 person teams can be formed from a group of 25 people? O 53,130 O 6,375,600 O 125 3000

A: Division into Groups:      To find the number of ways in which 'm' things can be divided into groups…

Q: in how many ways can a jury of 5 men and 7 women be selected from 10 men and 10 women?

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Q: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

Q: elected fr

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Q: A club consists of 23 people. In how many ways can they choose a president, vice president,…

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Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…

A: A automobile race contains 15 racecars.

Q: A class has 10 students. How many ways can the class be grouped into 2 groups of equal size.

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Q: Your class of 15 students has assigned a group project. You must break up into three groups of five…

A: Formula:   If there are n objects. If there are k1 of type 1, k2 of type 2 and so on km of type m…

Q: Faculty at a certain university need to create a committee to evaluate the general studies…

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Q: Suppose a club has 22 members.  How many ways can they form a 5-person committee?

A: Given:  A club has 22 members. We need to form a 5 person committee. We need to find how many ways…

Q: If a board has 5 women and 4 men. How many ways can you form a committee containing 3 members such…

A: Given that a board has 5 women and 4 men. Now we want to form a committee containing 3 members such…

Q: How many different committees of 3 people can be formed from a pool of 7 people? A We need to pick a…

A: Given: There is a pool of 7 people.

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

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Q: A marching band formation consists of8 rows. The first row has 5 musicians, the second has 7. the…

A: In Arithmetic Progression  Nth term is a1+(n-1)d

Q: The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?

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Q: There are 10 boys and 6 girls. How many ways are there of forming a group that consists of either 3…

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Q: how many ways can a committee of four be selected from a group of ten people

A: Total people=10

Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of seven Democrats…

A: We have to find In how many ways can a subcommittee of eight be chosen from a Senate committee of…