Find the number of ways to get the following card combinations from a 52-card deck.
-All cards of the same color in a five-card hand
A)131,560 ways
B)32,890 ways
C)263,120 ways
D)65,780 ways

Question

Quizplus · Accepted Answer

There are 13 cards of each suit in a 52-card deck. So, there are 13C5 ways to get a five-card hand of all the same suit. 13C5 = 13! / (5! * 8!) = 1287. There are 4 suits in a deck, so there are 4 * 1287 = 131,560 ways to get a five-card hand of all the same color.

Find the Number of Ways to Get the Following Card