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Counting & ProbabilityChallengeCounting & Probability

Counting & Probability · Challenge problem

How many permutations a1a2⋯a9a_1a_2\cdots a_9 of {1,2,…,9}\{1,2,\dots,9\} satisfy a1<a2<a3<a4<a5a_1<a_2<a_3<a_4<a_5 and a5>a6>a7>a8>a9a_5>a_6>a_7>a_8>a_9?