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How many 4 card hands that contain exactly 3 aces and 1 queen can be chosen from a 52 card deck?A. 8B. 12C. 4D. 16

User Nngeek
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1 Answer

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There are 4 aces and 4 queens.

Total card are 52.

Thus required number of ways of choosing 3 aces is:


^4C_3=(4!)/(3!1!)=4

The number of ways of choosing 1 queen is:


^4C_1=(4!)/(1!3!)=4

Thus total nmber of ways is 4x4=16

The answer is D.16

User Srujana Puttagunta
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