(i) how many different poker hands can be dealt to a player?
(ii) how many hands include the Ace of spades?
(iii) how many hands do not contain include the ace of spades?
(iv)how many hands include all 4 aces?
(v) how many hands contain exactly 3 aces?
so i know that there are 52 cards in a pack and that a poker hand is 5 cards, so the answer to (i) is 52 choose 5 52C5 , using the calculator i get 2598960.
and i know that there is only one ace of spades in a pack of cards but i'm not quite sure how to work out part (ii) and if i knew the answer to this then obviously i could work out the answer to part (iii)
could anyone give me a bit of help please? thanks.