1.How many ways are there to pick 2 different cards from a standard 52-card deck such that:

(a)The first card is an Ace and the second card is not a Queen?

(b)The first card is a spade and the second card is not a Queen?(Hint: Watch out for the Queen of spades.)

2.How many nonempty collections of letters can be formed from three As and five Bs?

3.How many ways are there to roll two dice to yield a sum divisible by 3?