SOLUTION: A soccer team has 11 players in how many ways can the coach select 5 players for the starting lineup.

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Question 1207712: A soccer team has 11 players in how many ways can the coach select 5 players for the starting lineup.
Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.

In  C%5B11%5D%5E5 = 11%21%2F%285%21%2A%2811-5%29%21%29 = %2811%2A10%2A9%2A8%2A7%29%2F%281%2A2%2A3%2A4%2A5%29 = 462 different ways.    ANSWER


It is the number of all possible combinations of 11 items/persons taken 5 at a time.

Solved.

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Since the order of persons does not matter,  this problem is on  COMBINATIONS.

On  Combinations,  see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
in this site.