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Math Help - No. of distinct 4 letter words from mathematics.

  1. #1
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    No. of distinct 4 letter words from mathematics.

    no of 4 DISTINCT Letter words from MATHEMATICS

    USING MULTINOMIAL THEOREM I GET

    coefficent of x^4 in ((1+x)^5) *((1+x+x^2)^3)
    can yu help me find the coefficient of x^4 in this
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  2. #2
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    Re: four letter

    Hello, prasum!

    If I read the problem correctly, you are complicating it.


    Number of 4-letter words with distinct letters from MATHEMATICS.

    There are eight distinct letters:. \{A,C,E,H,I,M,S,T\}

    We select and permute 4 of them.

    Answer: . _8P_4 \:=\:\frac{8!}{4!} \:=\: 1680

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