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?

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?

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

In how many ways can a committee of 8 be chosen from 10 individuals?

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 men and 3 women be appointed from 6 men and 8 women ?

Out of 5 men and 2 women, a committee of 3 is to be formed. In how many ways can it be formed if at least one woman is to 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 ?

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 consists of exactly 3 boys and 2 girls ,

There are 13 players of cricket, out of which 4 are bowlers. In how many ways a team of eleven be selected from them so as to include at least two bowlers? a. 72 b. 78 c. 4 d. none of these

Out of 6 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 each commiittee?