SOLUTION: How many ways can you deal a hand of 13 playing cards that contain 4 spades, 7 diamonds, and two hearts. It is a standard 52 card deck. Leave the answer in factorial form

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Question 1177667: How many ways can you deal a hand of 13 playing cards that contain 4 spades, 7 diamonds, and two hearts. It is a standard 52 card deck. Leave the answer in factorial form
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


You need to choose 4 of the 13 spades, y of the 13 diamonds, and 2 of the 13 hearts (and also 0 of the 13 clubs). The number of ways to do that is

C%2813%2C4%29%2AC%2813%2C7%29%2AC%2813%2C2%29%2AC%2813%2C0%29

You can evaluate that or convert it to whatever form you need.