Question

How many 4 card hands that contain exactly 3 aces and 1 queen can be chosen from a 52 card deck?

You don't need to show your work. PLZ HELP

Answer 1

16.

Explanation:

Answer 2

There are 16 possible hands.

Choosing 3 aces from 4 possible is expressed by:

`_4C_3=(4!)/(3!1!) = 4`

Choosing 1 queen from 4 possible is expressed by:

`_4C_1=(4!)/(1!3!)=4`

This gives us 4*4 = 16 possible hands.