Question 976410
<pre>
The permutation f = (1,4,2) takes 1 to 4, then 4 to 2, and 2 to 1

(The reason it takes 2 to 1 is because the last number in
a cycle is considered to go to the first number) 

Its inverse is what takes each back to what it was before.

So the inverse takes 4 back to 1, 1 back to 2, and 2 back to 4.

f<sup>-1</sup> = (4,1,2) which is the same as (1,2,4) 

Edwin</pre>