Solve the problem.
-There are 8 members on a board of directors. If they must form a subcommittee of 5 members, how many different subcommittees are possible?
A)6720
B)56
C)32,768
D)120

Question

Quizplus · Accepted Answer

The number of ways to choose 5 members out of 8 for a subcommittee 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=8 and k=5, so C(8, 5) = 8! / [5!(8-5)!] = 8! / (5!3!) = (8*7*6) / (3*2*1) = 56.

Solve the Problem. -There Are 8 Members on a Board of Directors. If