How many different menus can be made showing 5 main courses from 15 choices? 72,072 12,012 3,003

In this problem, we are to determine the number of ways that 5 main courses can be chosen given that we have 15 choices. To answer the question, we use the concept of combination because the order of the choice will not matter.

n = 15C5

We read this as n being equal to "combination of 15 taken 5". The answer to the problem is 3,003. Thus, it is the last choice.