Mathematics, 02.10.2019 18:30 angelkiss2019

Combinatorics problem. how many permutations of the set [n] are there in which no internal entry is larger that both of its neighbors? (internal = not at the end points) [n] = {1, 2, n-1, n}

can i use the equation:

k! (n-k)! to solve this? i'm not sure how to show the internal entry part of the problem

Answers: 2

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Combinatorics problem. how many permutations of the set [n] are there in which no internal entry is...