There are 6 students A,B,C,D,E,F. In hoiw many ways can a committee of 4 be formed so as to always include C but exclude E?

There are 6 students A,B,C,D,E,F. In how many ways can a committee of 4 be formed so as to always include C?

In how many ways can a committee of four be selected from nine so as to always include a particular man?

There are 6 students A,B,C,D,E,F. In how many ways can they be seated in a line so that C and D do not sit together?

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 7 members forming a committee out of 11 be selected so that 3 particular mimbers must be included ?

In how many ways 5 members forming a committee out of 10 be selected so that 2 particular members must be included ,

Out of 7 men and 4 ladies committee of 5 is to be formed. In how many ways can this be done so as to include at least 3 ladies?

From 8 gentlemen and 4 ladies a committee of 5 is to be formed. In how many ways can this be done so as to include at least one lady?

In how many ways 5 members forming a committee out of 10 be selected so that 2 particular members must not be included.

A committee of 5 is to be formed from a group of 12 students consisting of 8 boys and 4 girls in how many ways can the committee be formed it contains at least 3 girls ?