Question

A food inspector wishes to inspect 4 of 29 chain restaurants operating in the same city. If the order of inspections does not matter, how many different ways can she plan the series of inspections?

Answer 1

570024

Explanation:

Total number of restaurants = 29

Number of restaurants to be inspected = 4

The order of restaurants does not matter.

This is a simple selection problem to be solved.

Number of ways to select the first restaurant = 29

Number of ways to select the second restaurant = 28

Number of ways to select the third restaurant = 27

Number of ways to select the fourth restaurant = 26

So, total number of ways to select the 4 restaurants out of 29 is:

29
`*` 28
`*` 27
`*` 26 = 570024

Hence, the answer is 570024.