Word Problems Combinatorics Mock Tests

A committee of 3 people is to be chosen from 8 candidates. How many different committees are possible?

In how many ways can 3 books be arranged on a shelf from a selection of 7 different books?

A committee of 3 members is to be selected from 5 men and 3 women. In how many ways can the committee be formed if at least one woman must be included?

In how many ways can 3 books be arranged on a shelf from a selection of 7 distinct books?