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A basketball team has 12 players. For the last game of the season the coach will randomly select 5 players to start the game. The first player selected is the center, the second player selected is the power forward, the third player selected is the forward, the fourth player selected is the shooting guard, and the fifth player selected is the point guard. Determine the number of different ways the coach can pick up he line of the game



Answer :

contexto1019

The number of different ways the coach can pick up the line of the game is 792 ways

Step-by-step explanation:

Let n- number of players, r-selection of players.

We can select them using Combination: nCr = 12C5

Combination formula nCr =[tex]\frac{n!r!}{ (n-r)!}[/tex]  = 12C5 = [tex]\frac{12!5!}{(12-5)! }[/tex]

=[tex]\frac{12!5!}{ 7!}[/tex]

= 792ways

The number of different ways the coach can pick up the line of the game is 792 ways.

Know more about Combination: https://brainly.com/question/28444925

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