Question

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

Answer 1

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