Solve the problem.
-If the police have 9 suspects, how many different sets of 5 suspects can they select for a lineup?
A) 126
B) 15,120
C) 45
D) 3024

Question

Quizplus · Accepted Answer

The number of ways to choose 5 suspects out of 9 is calculated using the combination formula, which is C(n, k) = n! / [k!(n-k)!], where n is the total number of items, k is the number of items to choose, and "!" denotes factorial. Here, n=9 and k=5, so C(9, 5) = 9! / [5!(9-5)!] = 9! / (5!4!) = (9*8*7*6) / (4*3*2*1) = 126.

Solve the Problem. -If the Police Have 9 Suspects, How Many Different Sets