Solve the problem.
-If the police have 8 suspects, how many different sets of 5 suspects can they select for a lineup?
A) 56
B) 336
C) 40
D) 6720

Question

Quizplus · Accepted Answer

This problem can be solved using the combination formula, which is used to find the number of ways to choose k items from n items without regard to the order. The formula is C(n, k) = n! / [k!(n-k)!]. Here, n=8 (total suspects) and k=5 (suspects to be selected), so C(8, 5) = 8! / [5!(8-5)!] = 8! / (5!3!) = (8*7*6) / (3*2*1) = 56.

Solve the Problem. -If the Police Have 8 Suspects, How Many Different Sets