# Product of Permutations

The applet below serves a demonstration for the product of permutations. It displays two permutations, say f and g, of numbers

(fg)(k) = g(f(k)),

so that the left permutation is carried out first. (To emphasize this fact, (fg)(k) is often written as kfg.)

The elements of the two permutations are clickable: clicking on two elements in a sequence in either of the permutations multiplies that permutation by a transposition of the two elements.

What if applet does not run? |

### Permutations

- Various ways to define a permutation
- Counting and listing all permutations
- Johnson-Trotter Algorithm: Listing All Permutations

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