A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of four of a kind (all four of one denomination and one of another).
A)156 hands
B) 9,984 hands
C) 52 hands
D) 2,496 hands
E) 624 hands

Question

A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of four of a kind (all four of one denomination and one of another). ​
A)156 hands
B) 9,984 hands
C) 52 hands
D) 2,496 hands
E) 624 hands

Quizplus · Accepted Answer

To form a "four of a kind" hand, choose 1 of the 13 denominations for the four cards, and then choose 1 of the remaining 48 cards for the fifth card. This gives 13 * 48 = 624 different hands.

A Poker Hand Consists of Five Cards from a Standard