Chapter 3.2, Problem 5E

In Example 3 of Section 3.1, find elements $a$ and $b$

of $S(A)$

such that ${(ab)}^{-1}\ne a^{-1}{b}^{-1}$.

From Example 3 of section 3.1: $A=\{1,2,3\}$ and $S(A)$

is a set of bijective functions defined on $A$.