Question

When playing a game of poker, how many five card hands consist of no face cards at all? (Note: face cards include jacks, kings and queens.)

Answer 1

Answer:In a standard deck of 52 cards, there are 12 face cards (4 jacks, 4 queens, and 4 kings) and 40 non-face cards. To find the number of five card hands consisting of no face cards, we need to count the number of hands that include only non-face cards.

The number of ways to choose 5 non-face cards out of the 40 available non-face cards is:

C(40, 5) = (40!)/(5!35!) = 658,008

Therefore, there are 658,008 five card hands consisting of no face cards at all.

Explanation: