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26 votes
26 votes
Please help me this is due today!!!

Freemore High School is starting a girls volleyball team. There are 10 girls that have been selected for the team. Only 6 girls can be on the court at one time in positions 1, 2, 3, 4, 5, and 6. How many different arrangements of the girls' volleyball team are possible?

User CYAD
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3.0k points

1 Answer

19 votes
19 votes

Answer:

210 different arrangements

Explanation:

We can use a formula to solve this problem.

Since there are only 6 positions, we are "picking 6 from a group of 10"

-> For 6! we do 6*5*4*3*2*1, etc.

10!/(6! * (10-6)!)

10!/(6! * (4)!)

10!/(6! * (4)!)

10!/17,280

3,628,800/17,280

210 different arrangements

User Michael Hirschler
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3.3k points