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Math Help - [SOLVED] Permutations

  1. #1
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    [SOLVED] Permutations

    Hey Can anyone help me with this question.

    19) In How many ways can you arrange the letters of the word " Think" so that the "t" and the "h" are seperated by atleast one other letter?

    I did this question by doing:

    2^3 * 3^2
    8 * 9 = 72

    at the back the answer is also 72. Did i do this correctly?

    Thanks In Advance
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  2. #2
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    Quote Originally Posted by Nisar_0926 View Post
    Hey Can anyone help me with this question.

    19) In How many ways can you arrange the letters of the word " Think" so that the "t" and the "h" are seperated by atleast one other letter?
    I did this question by doing: 2^3 * 3^2=8 * 9 = 72
    It is just pure accident that the way you did it resulted in a correct answer.
    The pair ‘th’ are together in 2(4!) ways.
    So they are separated by at least one letter in (5!)-2(4!) ways.
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