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 a committee be selected from 15 persons if the committee is to have : 13 members.

In how many ways can a committee be selected from 15 persons if the committee is to have : 3 members.

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

An executive committee of 6 is to be formed from 4 ladies and 7 gentlemen . In how many ways can this be formed when the committee contains (i) only 2 lady members, (ii) at least 2 lady members ?

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

How many 3 - person committees can be selected from a fraternity with 25 members?

In how many ways can a committee of 4 be selected out of 12 persons so that a particular person may always be taken.