Chapter 9.2, Problem 47ES

To determine

(a)

Use arrows to write each of the six permutations of $\left\{1,2,3\right\}$

To determine

(b)

Use arrows to write each of the permutations of $\left\{1,2,3,4\right\}$ that keeps $2$ and $4$ fixed.

To determine

(c)

Which permutations of $\left\{1,2,3\right\}$ keeps no elements fixed.

To determine

(d)

Use arrows to write all the permutations of $\left\{1,2,3,4\right\}$ that keeps no elements fixed.