In how many ways can a committee be selected from 15 persons if the committee is to have (i). 3 members, (ii). 13 members

In how many ways can 6 members the selected from a group of 10 members ?

In how many ways a committee of 7 members can be selected from 10 members ?

In how many ways a committee of 5 persons can be selected out of 20 persons?

In how many ways can a committee of 5 can be chosen from 6 men and 4 women so as to have at the most 3 men.

In how many ways a committee of 5member can be selected from 6 men and 5 women, consisting of 3 men 2 women?

In how many ways can a committee of 4 men and 3 women be appointed from 6 men and 8 women ?

In how many ways can a chairman and vice - chairman be elected from a committee of 8 members who are equally eligible for the post ?

In how many ways can a committee of 5 members be formed from 10 members so that the youngest member is excluded if the oldest one is included? (a) 196(b)180(c)126(d) none of these

In how many ways can 5 members forming a committee out of 10 be selected so that : (i) two particular members must be included (ii) two particular members must not be included ?