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How many possible 5-card hands from a standard 52-card deck contain 3 aces and 2 kings?

a. 42
b. 22
c. 24
d. 44

1 Answer

6 votes

Final answer:

The number of possible 5-card hands from a standard 52-card deck that contain 3 aces and 2 kings is 16.

Step-by-step explanation:

To find the number of possible 5-card hands from a standard 52-card deck that contain 3 aces and 2 kings, we need to consider the number of ways we can choose 3 aces from the 4 available and 2 kings from the 4 available. The number of ways to choose 3 aces from 4 is given by the combination formula: C(4, 3) = 4! / (3!(4-3)!) = 4. Similarly, the number of ways to choose 2 kings from 4 is also 4. Therefore, the total number of possible 5-card hands with 3 aces and 2 kings is 4 * 4 = 16.

So the correct answer is d. 44.

User Andy White
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