Asked by Rosa

Last Problem of the Week this year! Having a bit of trouble with it: In how many ways can seven basketball players of different heights line up in a single row so that no player is standing between two people taller than she is?
Does it have anything to do with 7! or am I on the wrong track completely?
Answered by Ms. Sue
They could line up in ascending order of height.
Answered by Rosa
Is this the only solution? I do apologise for sounding rude, but they are generally more difficult than they appear.
Answered by Ms. Sue
The other solution is lining up in descending order.

These solutions work. I don't see any reason to complicate this problem. :-)
Answered by Ms. Sue
Check back here to see if another math tutor has other solutions.

Answered by Rosa
Okay. Thank you very much, Ms. Sue, I will.
Answered by Ms. Sue
You're very welcome, Rosa.
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