Ononot — Determine the number of permutations \sigma of the set \{1,

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Combinatoricshard

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Determine the number of permutations $\sigma$ of the set $\{1, 2, 3, 4, 5\}$ such that $\sigma(i) \neq i+1$ for all $i \in \{1, 2, 3, 4\}$ .