Question

How many different 5 card hands can be dealt from a deck of 52 cards?

Answer: possible hands

How many different 5 card hands can be dealt from a deck of 52 cards if all five of these cards are clubs?

Answer: possible hands

How many different 5 card hands can be dealt from a deck of 52 cards if the hand consists of exactly 2 aces?

Answer: possible hands

How many different 5 card hands can be dealt from a deck of 52 cards if the hand consists of exactly 2 aces and exactly 2 kings?

Answer:  possible hands

Answer 1

a)
5 clubs can be selected in 13C5 ways

possible hands = 1287

b)
2 aces can be selected in 4C2 ways
and remaining 3 cards can be selected in 48C3 ways

possible hands = 4C2 * 48C3 = 103776

c)
possible hands = 4C2 * 4C2 * 44C1 = 1584

Answer 2

2598960 is the answer