A president and vice president for a club must be chosen from four people. How many different president/vice-president combinations are possible?

Q: This year, there are ten freshmen, eight sophomores, nine juniors, and nine seniors are eligible to…

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Q: How many ways can president, vice president, secretary, and treasurer be determined in a club with…

A: 13 members are there.   How many ways can president, vice president, secretary, and treasurer be…

Q: From a pool of 300 candidates the office of president, Vice President, secretary, and treasurer will…

A: Given that,Total number of candidates = 300Total number of required candidates = 4

Q: Committee: The Student Council at a certain school has seven members. Four members will form an…

A: Given,Total no.of members=7

Q: There are N employees at a new company, and they are forming a union. How many ways are there to…

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Q: A group of 8 people, A, B, C, D, E, F, G, and H are visiting an amusement park. More drama. A and B…

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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: Combination. There are 15 technicians and 11 chemists working in a research lab. They need to form a…

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Q: How many ways can you pick the cars so not both are the same siz

A: Number of subcompact cars=7 Number of compact cars= 4 Number of midsize cars= 7 Total cars= 18

Q: From among 11 people you must choose a President, a Vice President, a Secretary, and a Treasurer.…

A: Given Information: There are 11 people out which a President, a Vice President, a Secretary, and a…

Q: Suppose you choose 9 cards from a standard 52-card deck (with 13 hearts, 13 spades, 13 clubs and 13…

A: A standard 52-card deck contains 13 hearts, 13 spades, 13 clubs and 13 diamonds and probability of…

Q: A class is holding elections for class president, vice president, and secretary. There are 18…

A: A class is holding elections for class president, vice president, and secretary. There are 18…

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: This year, there are ten freshmen, seven sophomores, ten juniors, and eight seniors are eligible to…

A: Followings are the Explanation of the question  Number of ways to select k items from n, nCk= n!/(k!…

Q: John is one of twelve members of the Math Honor Society at his school.  A delegation of four members…

A: John is one of twelve members of the Math Honor Society at his school.  A delegation of four members…

Q: 5 freshmen, 6 sophomores, 5 juniors, and 6 seniors are eligible to be on a committee. In how many…

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Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Number of ways of selecting 6 people of committee  from the group of 20 people will be:

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

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Q: On a ballot, the candidates for each office are listed together under the office for which they are…

A: Here the given information is  On a ballot, the candidates for each office are listed together under…

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: Five high-profile guests, A, B, C, D and E, are invited to a corporate dinner party.   In how many…

A: Given :  Five people(A,B,C,D,E) are invited to a party.

Q: A team of 6 people is to be chosen from a group of 7 girls and 4 boys. There ae possible teams if…

A: Combination formula :  Number of ways to select  r items from total n items is given by,   Crn =…