HMMT November 2009 U26
- Guts
- Answer
In how many ways can the positive integers from 1 to 100 be arranged in a circle such that the sum of every two integers placed opposite each other is the same? (Arrangements that are rotations of each other count as the same.) Express your answer in the form .
Dataset text NuminaMath olympiads. Quoted with source.
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49!\cdot 2^{49}
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