4. Express the following permutations of \{1,2,3,4,5,6\} using cycle notation:
$\alpha$ : 1$\mapsto$3, 2$\mapsto$5, 3$\mapsto$6, 4$\mapsto$2, 5$\mapsto$1, 6$\mapsto$4
$\beta$ : 1$\mapsto$2, 2$\mapsto$1, 3$\mapsto$3, 4$\mapsto$6, 5$\mapsto$5, 6$\mapsto$4
$\gamma$ : 1$\mapsto$4, 2$\mapsto$3, 3$\mapsto$6, 4$\mapsto$5, 5$\mapsto$1, 6$\mapsto$2
5. Find the composites $\alpha\beta$, $\alpha\gamma$ and $\beta\gamma$ where $\alpha$, $\beta$ and $\gamma$ are the permutations defined
in the previous question. Express the inverses of $\alpha$, $\beta$, $\gamma$ as positive powers of $\alpha$, $\beta$, $\gamma$
respectively.
