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Math Help - Arrangements

  1. #1
    Junior Member SirOJ's Avatar
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    Arrangements

    I cant seem to get my head around some of these problems

    E.g. In how many ways may the letters of SAUSAGES be arranged if:
    the new arrangement must begin with a vowel,

    I am right in saying because there are 4 vowels the answer is;

    7!
    --------- * 4!
    2!*3!


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  2. #2
    MHF Contributor

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    Quote Originally Posted by SirOJ View Post
    E.g. In how many ways may the letters of SAUSAGES be arranged if: the new arrangement must begin with a vowel.
    There are to cases: begins with A or else begins with E or U.

    It is \frac{7!}{3!}+2\cdot\frac{7!}{2!\cdot3!}
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