Coach Ringdahl has 10 players on his varsity basketball team.

Matilda Webb 2022-05-08 Answered
Coach Ringdahl has 10 players on his varsity basketball team. How many different starting line-ups (5 players) can he choose?
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Answers (1)

Carolyn Farmer
Answered 2022-05-09 Author has 16 answers
Step 1
This is a combinations question - we don't care about the order in which we select the 5 players in the starting line-up, only that they are chosen.
So we have: C 10 , 5 = 10 ! ( 5 ! ) ( 10 - 5 ) ! = 10 ! ( 5 ! ) ( 5 ! )
Step 2
And now let's evaluate this: 10 ! ( 5 ! ) ( 5 ! ) = 10 × 9 3 × 8 2 × 7 × 6 × 5 ! ( 5 ! ) ( 5 × 4 × 3 × 2 × 1 ) = 3 × 2 × 7 × 6 = 252
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