Twelve new accounts have recently been added to your area of responsibility.Four of the accounts are local and the remaining eight are international.You plan to meet with five of the new accounts this week.How many different groups of five could you form that would include exactly two local and three international accounts?
A)422
B)336
C)648
D)524
E)980

Question

Quizplus · Accepted Answer

The number of ways to choose exactly two local accounts from four is $C(4,2) = \frac{4!}{2!(4-2)!} = 6$. The number of ways to choose exactly three international accounts from eight is $C(8,3) = \frac{8!}{3!(8-3)!} = 56$. To find the total number of different groups of five that include exactly two local and three international accounts, multiply these two results: $6 \times 56 = 336$.

Twelve New Accounts Have Recently Been Added to Your Area