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Thread: Permutations question

  1. #1
    Junior Member
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    Permutations question

    Hey guys, I'm having trouble with this question

    Q: how many seven-letter words can be formed from the word INCLUDE, no repetition
    i) when vowels and consonants alternate
    ii)when the letters N and D are separated by exactly two letters
    iii) when the letter N and D are separated by more than two letters

    Thanks
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  2. #2
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    Quote Originally Posted by aonin View Post
    Q: how many seven-letter words can be formed from the word INCLUDE, no repetition
    i) when vowels and consonants alternate
    ii)when the letters N and D are separated by exactly two letters
    iii) when the letter N and D are separated by more than two letters
    You need to post something to show effort.
    Here is part i) $\displaystyle 3!\cdot4!$ because we can arrange the vowels in $\displaystyle 3!$ leaving four places to put the others: _v_v_v_.
    Now you tell something about the other two.
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