(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. 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.

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# How many elements of order 2 are contained in S_4?

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