Of the 2,598,960 different five-card hands possible from a deck of 52 playing cards, how many would contain all black cards.
A)131,560 hands
B)263,120 hands
C)32,890 hands
D)65,780 hands

Question

Quizplus · Accepted Answer

The number of ways to choose 5 black cards out of 26 black cards (spades and clubs) in a deck is calculated using the combination formula C(n, k) = n! / [k!(n-k)!], where n is the total number of items, and k is the number of items to choose. Here, n=26 (total black cards) and k=5 (cards to choose), so C(26, 5) = 26! / [5!(26-5)!] = 65,780.

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