In how many ways a committee of 5 members can be formed out of 8 gentlemen and 4 ladies, if one particularlady is always to be taken

In how many ways a committee of 5 members can be selected from 6 men and 5 ladies consisting of 3 men and 2 ladies?

In how many ways can a committee of four gentlemen and three ladies be formed out of seven gentlemen and six ladies ?

The number of ways in which a committee of 6 members can be formed from 8 gentlemen and 4 ladies so that the committee contains at least 3 ladies is

The number of ways in which a committee of 6 members can be formed from 8 gentlemen and 4 ladies so that the committee contains at least 3 ladies is

Find the number of committees of 5 members that can be formed from 6 gentlemen and 4 ladies if each committee has at least one lady and two gentlemen .

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