Question

How many ways are there to choose two queens from a standard 52-card deck?

How many ways are there to choose three cards from a standard 52?
How many five-card hands (drawn from a standard 52-card deck) contain exactly two queens?
How many five-card hands (drawn from a standard 52-card deck) contain a two-of-a-kind?

Answer 1

There are four queens is a standard deck, so 4.3 = 12 options

to any three cards = 52.51.50 = 132600 ways

Two queens in a random draw = 48. 2. 2. 47.46 = 2.283.072 hands

Two of a kind = 52/4 = 13. Then every kind has 13 cards.

13.12.13.13 = 26.354