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Math Help - number of arrangements of letters ....

  1. #1
    Junior Member
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    number of arrangements of letters ....

    1.the letters of the word promise have to arranged so that no two vowels come together .find the number of arrangements
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  2. #2
    Senior Member
    Joined
    Jul 2009
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    397
    Hi bluffmaster.roy.007

    First, you find the number of ways to arrange the consonants.
    Then for no two vowels come together, you can put them at the positions indicated by : _

    _p_r_m_s_

    There are five positions to be filled by 3 letters, find the number of ways to do it.

    Then, find the total number of arrangements.
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