1. Five separate awards are to be presented to selected students of a class of 30. how many different outcomes possible if

a. a student ca receive any number of awards?

b. each student can receive at most 1 award?

2. A student has to sell 2 books from a collection of 6 math, 7 science, and 4 economics books How many choices are possible if the books are to be on different subjects?

3. From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is tone formed. How many different committees are possible if 1 man and 1 woman refuse to serve together?

4. A person has 8 friends of whom 5 will be invited to a party. How many choices are there if 2 of the friends will only attend together?