What Are Permutations and Factorials?

Let's say we have a permutation $\{1, 2, 3, ..., n\}.$ We say a swap of a permutation is the interchanging of any two elements of the permutation, for example in $\{1, 2, 4, 3\}$ we can swap $2$ and $3$ to get $\{1, 3, 4, 2\}.$

What is the minimum number of swaps needed to turn $\{1, 2, 3, 4\}$ into $\{2, 3, 4, 1\}?$