A committee of 10 persons is to be formed from a group of 10 women and 8 men. How many possible committees will have at least 5 women? How many possible committe will have men in majority?

A group consists of 9 men and 6 women. A team of 6 is to be selected. How many of possible selections will have at least 3 women?

In how many ways can a committee be formed of 5 members from 6 men and 4 women if the committee has at least one woman

A committee of 6 is to be chosen from 10 men and 7 women, so as to contain at least 3 men and 2 women. In how many different ways can this be done, if two particular women refuse to serve on the same committee?

Eight men and six women sit around a table. How many of sitting arrangements will have no two women together?

Write sample space 'S' and number of sample point 'n(S)' for the following experiment. Also write events A,B,C in the set form and write n(A), n(B), n(C): From three men and two women, Environment Committee of two persons is to be formed. Event A: There must be atleast one woman member. Event B: One man, one woman committee to be formed. Event C: There should not be a woman member.

Find the number of ways in which we can choose a committee from 4 men and 6 women, so that the committee includes two men exactly twice as many women as men