16. Manufacturing Tests An inspector must select 3 tests to perform in a certain

Question

16. Manufacturing Tests An inspector must select 3 tests to perform in a certain order on a manufactured part. He has a choice of 7 tests. How many ways can he perform 3 different tests? 17. Threatened Species of Reptiles There are 22 threatened species of reptiles in the United States. In how many ways can you choose 4 to write about? (Order is not important.) Source: www.infoplease.com 18. Inspecting Restaurants How many different ways can a city health department inspector visit 5 restaurants in a city with 10 restaurants?

Explanation / Answer

These all are problems that involves combinations.

16. Number of ways 3 different tests can be performed = 7C3 = 7! / (3!*4!) = 35

17. Number of ways 4 can be chosen = 22C4 = 22! / (4!*18!) = 7315

18. Number of ways health department inspector can visit restaurants = 10C5 = 10! / (5!*5!) = 252

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