Problem:
The Centerville Middle School chess team consists of two boys and three girls. A photographer wants to take a picture of the team to appear in the local newspaper. She decides to have them sit in a row with a boy at each end and the three girls in the middle. How many such arrangements are possible?
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Solution:
There are ways to seat the boys, one on each end, and ways to seat the three girls in the middle. So there are possible arrangements.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions