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 3 mangoes be selected from 10 mangoes so as to always include a particular mango?

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 how many ways can a committee of 4 be formed so as to always include C?

In how many different ways can 9 men be selected from 15 men so as to always (i)exclude 3 particular men ,(ii) include 3 particular men?

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 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 team of 5 players be selected from 8 players so as not to include a particular player?

In how many ways can be 9 man be selected from 15 men so as always to Include 3 particular man.

In how many ways can be 9 man be selected from 15 men so as always to exclude 3 particular man.

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