What is the order of (1 2)(3 4) in S_4?

[Artusartos]

Homework Statement

What is the order of (1 2)*(3 4) in $S_4$

Homework Equations

The Attempt at a Solution

(1 2)(3 4)(1 2)(3 4) = (1)(2)(3)(4)...so the order is 2.

Is my answer correct?

 

[pasmith]

Yes.