# How many 5 card poker hands consisting of 3 aces and 2 kings are possible with an ordinary 52 card deck? pls explain how you got answer! thx?

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- PuzzlingLv 73 years agoFavorite Answer
You want to count the ways to get the desired hand with 3 aces and 2 kings.

From the 4 aces, pick 3 of them:

4C3 = (4 x 3 x 2) / (3 x 2 x 1)

= 4 ways

From the 4 kings, pick 2 of them:

4C2 = (4 x 3) / (2 x 1)

= 6 ways

Multiply those numbers together to get the total ways to make a hand consisting of 3 aces and 2 kings:

4 x 6 = 24 ways

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