All 15 players on the Tall U. basketball team are capable of playing any position.(a) How many ways can the coach at Tall U. fill the five starting positions in a game?(b) What is the answer if the center must be one of two players?

Name: All 15 players on the Tall U. basketball team are capable of playing any position.(a) How many ways can the coach at Tall U. fill the five starting positions in a game?(b) What is the answer if the center must be one of two players?
Uploaded: 2022-02-23T17:22:57+00:00
Description: All 15 players on the Tall U. basketball team are capable of playing any position.(a) How many ways can the coach at Tall U. fill the five starting positions in a game?(b) What is the answer if the center must be one of two players?

Question

Quenchingof · Accepted Answer

Step 1Approach via multiplication principle.- Pick who the center is: You have two options- Pick who the power forward is: You have 14 remaining options since it can&#039;t be who you picked for the center- Pick who the small forward is: You have 13 remaining options since it can&#039;t be either of the two previously selected people- Pick who the point guard is: 12 remaining options- Pick who the shooting guard is: 11 remaining optionsStep 2- The answer then is   2  ⋅  14  ⋅  13  ⋅  12  ⋅  11