1. If 4 Maths books are selected from 6 different Maths books and 3 English books are chosen from 5 different English books. How many ways can 7 books be arranged on a shelf.

a) If a Maths book is at the beginning and an English is in the middle of the shelf.

2. A committee of 6 people is to be chosen from a group of 12( 6 men and 6 women)

(a) What is the probability that a committe will have exactly 5 women on it?

(b) What is the probability that a committe will have no women on it?