Asked by Anonymous

if n=45, calculate the number of cosets of An in Sn .
Answered by Reiny
Your question makes no sense to me.
Answered by Anonymous
I'm not really sure about this, but I'll give it a go. By the way, what do you mean by cosets?

n=45

Solving for the number of (costs?) of An in Sn.

A45= S45

This is the most I can simplify it down to. If you post the full question from wherever you're getting it from, I may just be able to help.
Answered by Annoymous
Answer is 2..

From Lagrange's Theorem, we know that the number of cosets in An in Sn is [Sn:An] = |Sn|/|An| = 2

Note An = n!/2 = |Sn|/2
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