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

In how many ways can a committee of 4 be selected out of 12 persons so that a particular person may never be taken?

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

In how many ways can a committee of 3 men and 2 women be selected out of 7 men and 5 women?

In How many ways can a committee of 3 men and 2 women be selected out of 7 men and 5 women?

In how many ways can a committee of five persons be formed out of 8 members when a particular member is taken every time?

In how many ways 2 persons can be selected from 4 persons?

In how many ways 2 persons can be selected from 4 persons?

In how many ways 5 persons can be seated in a row ?

In how many ways can 4 persons be selected from amongst 9 persons ? How many times will a particular person be always selected?