The number of ways of choosing a committee of two women and three men from five women and six men, if Mr. A refuses to serve on the committee if Mr. B is a member and Mr. B can only serve if Miss C is the member of the committee is a. `60` b. `84` c. `124` d. none of these

In how many ways can a committee of 3 men and 2 women be formed from a group of 5 men and 4 women if Mr. A is always included and Mrs. B is never included?

A committee of two persons is selected from two men and two women. What is the probability that the committee will have (a) no man? (b) one man? (c) two men?

A committee of 7 peoples has to be formed from 8 men and 4 women. In how many ways can this be done when the committee consists of Q at least 3 women?

A committee of 7 peoples has to be formed from 8 men and 4 women. In how many ways can this be done when the committee consists of Q exactly 3 women

The number of ways in which we can get a score of 11 by throwing three dice is a. 18 b. 27 c. 45 d. 56

A committee of 5 persons is to be formed from 7 men and 3 women. i. Find the number of ways to form the committee so that it contains 5 men. ii. Find the number of ways to form the committee so that it contains 4 men and 1 women. iii. Find the number of ways to form the committee so that it contains atleast 1 women.