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if n=45, calculate the number of cosets of An in Sn .

  • Math -

    Your question makes no sense to me.

  • Math -

    I'm not really sure about this, but I'll give it a go. By the way, what do you mean by cosets?


    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.

  • Math -

    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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