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

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

A:

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

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: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

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: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

A: Given: 4 Mothers 5 Children

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: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

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 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…

A:

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: There are 18 males and 14 females in a classroom. A president, secretary and vice-president must be…

A: Given that  Number of males = 18 Number of females = 14 Total number of people = 32   We know that…

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: are 12 members in the local garden club. In how many ways can a president and secretary be chosen…

A: According to the sum, There are 12 members in the local garden club.  A president and A secretary…

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

A:

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…

A:

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: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…