Of the 2,598,960 different five-card hands possible from a deck of 52 playing cards, how many would contain 2 black cards and 3 red cards?
A)845,000
B)1,267,500
C)1,690,000
D)422,500

Question

Quizplus · Accepted Answer

There are 26 black cards and 26 red cards in a deck of 52 playing cards. The number of ways to choose 2 black cards from 26 black cards is 26C2 = 325. The number of ways to choose 3 red cards from 26 red cards is 26C3 = 2600. The number of ways to choose 2 black cards and 3 red cards is 325 * 2600 = 845,000.

Of the 2,598,960 Different Five-Card Hands Possible from a Deck