1. A standard 52-card deck has four suits (Hearts, Diamonds, Clubs,and Spades) and each suit has 13 ranks(2,3,4,5,6,7,8,9,10,Jack,Queen,King,Ace). The face cards are Jack,Queen, and King. How many ways are there to be dealt any 2 cardsfrom a 52-card deck? (We are counting as distinct the same twocards received in a different order.)

2. How many ways are there to be dealt Blackjack? To be dealtBlackjack, either the first card is an Ace and the second card is aface card or a 10, or the first card is a face card or a 10 and thesecond card is an Ace. (Again we are counting as distinct the sametwo cards received in a different order.)

3. How many ways can you be dealt two cards such that the firstcard is a spade and the second card is a face card?

4. How many ways can you pick three cards such that the first cardis a spade, the second card is a one-eyed Jack, and the third cardis a face card? (There are two one-eyed Jacks in a standard deck:the Jack of Hearts and the Jack of Spades. Hint: Break the problemdown into 3 disjoint cases for the type of card received 1st, 2nd,and 3rd.