# Permutations and the Determinant

4 INVERSIONS AND THE SIGN OF A PERMUTATION 5 Theorem 3.2. Let n ∈ Z+ be a positive integer. Then the set Sn has the following properties. 1. Given any two permutations π,σ∈Sn, the composition π σ ∈Sn. 2. (Associativity of Composition) Given any three permutations π,σ,τ∈Sn, (π σ) τ = π (σ τ).3.

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