A poker hand consists of five cards chosen at random from a pack of cards.

a) How many different hands are there?

b) How many hands consist of all hearts?

c) How many hands consist of cards all from the same suit (a "flush")?

d) What is the probability of being dealt a flush?

e) How many hands contain all four aces?

f) How many hands contain four cards of the same number or picture?

g) What is the probability of being dealt a hand containing four cards of the same number or picture?