You are correct!(1) How many different poker hands can be dealt to a player?
There are: . possible hands.
We want the and four of the 51 other cards.(2) How many hands include the Ace of Spades?
We want 5 of the other 51 cards.(3) How many hands do not contain the Ace of Spades?
There is one way to have all four Aces.(4) How many hands include all 4 Aces?
And we want one of the other 48 cards.
(5) How many hands contain exactly 3 Aces?
There are choices for the three Aces.
And there are ways to choose the other two cards.