Ten project managers are available for assignment to six upcoming projects at Crosslands Development.How many subgroups of size six could be formed from the list of ten project managers?
A)1020
B)360
C)440
D)210
E)582

Question

Quizplus · Accepted Answer

The number of ways to choose 6 project managers out of 10 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=10 and k=6, so C(10, 6) = 10! / [6!(10-6)!] = 10! / (6!4!) = 210.

Ten Project Managers Are Available for Assignment to Six Upcoming