1. Six awards are to be given out among 40 students. How many ways can the awards be given out if:
(a) one student will win five awards.
(b) one student will win four awards.
(c) no student can win more than three award
2. A bridge hand consists of 13 cards from a standard 52 card deck. How many bridge hands are there with
(a) 5 spades?
(b) 5 cards if one suit, three cards of two suits and two cards of the fourth suit?
(c) 10 cards of one suit