The winner of a contest can choose any two of six different prizes.How many choices are possible?
A) 15
B) 20
C) 25
D) 30
E) 34

Question

Quizplus · Accepted Answer

The number of ways to choose 2 prizes out of 6 is calculated using the combination formula, which is 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=6 and k=2, so C(6, 2) = 6! / [2!(6-2)!] = (6*5) / (2*1) = 15.

The Winner of a Contest Can Choose Any Two of Six