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Math Help - more help on the math final review please

  1. #1
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    Exclamation more help on the math final review please

    what is the total number of diffreent seven letter agreements that can be formed usinng the letters "MILLION"?

    possible answers: 30, 210, 1260, 2520.
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  2. #2
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    There are 7 letters which can be arranged in 7! ways.

    But, we have repeats. There are 2 L's and 2 I's

    So, we divide by the number of repeats.

    \frac{7!}{2!2!}=\frac{5040}{4}
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  3. #3
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    Quote Originally Posted by lional View Post
    what is the total number of diffreent seven letter agreements that can be formed usinng the letters "MILLION"?

    possible answers: 30, 210, 1260, 2520.


    There are 7 letters in million

    The letters "I" and "L" both appear twice

    \frac{7!}{2!\cdot 2!}=\frac{5040}{4}=1260
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