Solve the problem.
-Raul Tampas' catering service is making up trays of hors d'oeuvres. The hors d'oeuvres are categorized as inexpensive, average, and expensive. If the client must select 4 of the 5 inexpensive, 4 of the 6 average, and 6 of
The 7 expensive hors d'oeuvres, how many different choices are possible?
A)2
B)27
C)217,728,000
D)525

Question

Quizplus · Accepted Answer

We simply need to use the formula for combinations to find the total number of different choices possible: 
C(5,4) * C(6,4) * C(7,6) = 5*15*462 = 34,650 
Therefore, the correct choice is D, with a total of 525 possible different choices.

Solve the Problem. -Raul Tampas' Catering Service Is Making Up Trays of Hors