In how many ways can a committee of 6 people which contains exactly 3 businessmen and 2 sweepers be formed?
50
90
105
150
none
Number of ways a committee can be formed =5C3∗2C2∗7C1=70
In how many ways can a committee of 5 people which contains only teachers be formed?
In how many ways can a committee of 5 people which contains at least 1 clerk be formed?
In how many ways can a committee of 5 people be formed, such that it contains at least 1 social worker?