8. A committee of five senators is to be selected from the U.S. Senate. How many different committees are possible?

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method.  We can select 5 women…

Q: From a group of 9 men and 11 women, a committee consisting of 2 men and 2 women is to be formed. How…

A: Men=9Women=11Choose for a committee 2 men and 2 women

Q: In how many ways can a committee of 3 be chosen from 7 people? (а) 120 (b) 70 (c) 35 (d) 210 (e)…

A: Given  Total number of people = 7 Number of people consisting committee is 3 The number of ways can…

Q: ssume that 8 women and 6 men work in a department at a large company. How many ways can a…

A: Combination formula : The number of ways to select r subject from n is determined by using following…

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: 52. a. There are 100 members of the U.S. Senate. Suppose that 4 senators currently serve on a…

A: a. There are 100 members of U.S. Senate. Suppose that 4 Senators currently serve on a committee.…

Q: 1. Twelve persons are to sit at a round table. Two particular people insist on sitting opposite each…

A:

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

A:

Q: From 6 gentleman and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done,…

A:

Q: Three research department have 8,6,and 10 members , 4 respectively. Each department is to select a…

A: Three research department have 8,6, and 10 members, respectively.

Q: In a club with 5 male and 9 female members, how many 5-member committees can be chosen that have at…

A: We have to find no. If ways to arrange.

Q: You must make a committee of 5 from a group of 20 people, 12 women and 8 men. a. How many ways can…

A: As per our guidelines we are supposed to answer only three subparts kindly post the remaining…

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

A:

Q: 4) -3 dr

A:

Q: 1. Determine the number of different 3-people or 4-people committees that can be formed from the 8…

A:

Q: 5. How many arrangements can be made from 4 boys and 4 girls if they have to sit in a roundtable and…

A: We have given that  Number of boys=4 Number of girls=4

Q: How many different committees of size  3  can be formed from  15  people?

A:

Q: A group of nine women and four men must select a four-person committee. How many committees are…

A: Choose the 2 women 9C2 = 36 ways. Choose the 2 men 4C2 = 6 ways Tats 36*6 = 216 ways.

Q: In how many ways can a committee of three men and two women be formed from a group of six men and…

A: Given, A group of 6 men and 9 women. To find: Number of ways to formed a committee of 3 men and 2…

Q: A three-person committee must be formed from a group of 3 men and 3 women. It has been decided that…

A: 2 women and 1 man: We can pick 2 women from 3 women in 3C2 ways. We can pick 1 man from 3 men in 3C1…

Q: In how many ways can a committee of five Democrats and six Republicans be formed from a group of…

A: The objective of this question is to find the number of ways a committee can be formed from a group…

Q: 1. There are 5 teenagers and 8 adults available for a 5-p. teenager and one adult, how many possible…

A:

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: no restrictions are imposed b. 2 particular statisticians must be on the committee

A:

Q: How many formations of committee from 10 persons are possible if the committee consists of one…

A: In this question, the concept of Permutation and Combination is applied. Permutation  Permutations…

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

A:

Q: In how many ways can a committee of three democrats and two republicans be formed from a group of…

A: A committee of three democrats from a group of twelve democrats can be selected in 12C3  waysA…

Q: A 4-person grievance committee is to be selected out of 2 departments, A and B, with 11 and 21…

A:

Q: How many ways are there to arrange 6 different unique chairs (i.e., each chair is different from any…

A: Explanation of the answer is as follows

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

A: Total people=10

Q: A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many…

A: It is given that, There are 4 tankers , 6 coal cars and 10  lumber cars.

Q: In how many different ways can we select a committee consisting of 4 engineers 3 chemists, and 2…

A: Given Information: To find out the number of different ways we can select a committee consisting of…

Q: 7. (a) How many committees consisting of 4 people can be chosen from 9 people? (b) Redo part (a) if…

A: (a) 126 (b) 70 For detail...go through the solution......I have solved step by step in detail