16. How many different ways can a coach select the captain and co-captain of a team from a group of
people?
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How many ways can a team of 24 hockey players choose a captain and two alternate captains?
Mathew S.
1 Expert Answer
CRUZ C. answered • 04/25/19
PhD Applied Mgmt and Decision Science-Information Systems Mgmt
Given 20 players on the team
and two positions that the coach wants to fill,
there are 20!/ (20-2)! = 20!/18!
= (20*19*18.....1) /18!
18! in the numerator and 18! in the denominator cancel each other out
= 20*19 = 380 ways that the coach can assign the two roles.
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