- #1

Samuelb88

- 162

- 0

## Homework Statement

How many elements of order 2 does the symmetric group [itex]S_4[/itex] contain?

## Homework Equations

## The Attempt at a Solution

I know that transpositions have order two. Moreover, any k-cycle has order k. Thus there are six elements with order two contained in [itex]S_4[/itex]?

Is this all? Seems too simple.