40.8k views
4 votes
How many 5 card hands contain exactly 2 queens

1 Answer

3 votes

There are 4 queens in the deck, hence (4 choose 2) = 4!/(2! (4-2)!) = 6 ways of getting 2 queens.

The other 3 cards in the deck can be any of the remaining 48 non-queens; there are (48 choose 3) = 48!/(3! (48-3)!) = 17,296 ways of getting these.

In total, there are (4 choose 2)*(48 choose 3) = 103,776 total possible hands.

User Billschen
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories