A motel chain wants to inspect 5 of its 32 franchised operat

A motel chain wants to inspect 5 of its 32 franchised operations. If the order of the inspections does not matter, in how many different ways can it plan this series of inspections?

Solution

Total franchised operations = 32

To be inspected out of 32 = 5

As order does not matter this is a question of combination

NO of ways it can plan the series of inspections = 32C5

= 201376