Ten project managers are available for assignment to six upcoming projects at Crosslands Development.Three of the project managers are women and seven are men.From the list of ten project managers, how many subgroups of size six could be formed containing exactly two women and four men?
A)105
B)88
C)24
D)156
E)212

Question

Quizplus · Accepted Answer

To form a subgroup of size six with exactly two women and four men, we choose 2 women from 3 and 4 men from 7. The number of ways to choose 2 women from 3 is C(3,2) = 3, and the number of ways to choose 4 men from 7 is C(7,4) = 35. Therefore, the total number of subgroups is 3 * 35 = 105.

Ten Project Managers Are Available for Assignment to Six Upcoming