Six cards are chosen at random from a standard deck of playing cards. In how many ways can the cards be chosen if all six cards are clubs.
A)1,716
B)5,089,630
C)24
D)28,276
E)720

Question

Quizplus · Accepted Answer

The number of ways to choose 6 cards out of the 13 clubs in a standard deck is calculated using the combination formula, which is C(n, r) = n! / [r!(n - r)!]. Here, n = 13 (total clubs) and r = 6 (cards chosen), so C(13, 6) = 13! / [6!(13 - 6)!] = 1,716.

Six Cards Are Chosen at Random from a Standard Deck