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Math Help - Hawaii

  1. #1
    Senior Member Sampras's Avatar
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    Hawaii

    The Hawaiian alphabet consists of  12 letters, the vowels  \text{a}, \ \text{e}, \ \text{i}, \ \text{o}, \ \text{u} and the consonants  \text{h}, \ \text{k}, \ \text{l}, \ \text{m}, \ \text{n}, \ \text{p} and  \text{w} .

    (a) How many different four-letter words can be constructed using the  12 -letter alphabet?

    (b) How about with the English alphabet?

    (c) What is the second and last letters are vowels and the other  2 are consonants?

    (d) What if the second and last letters are vowels, but there are no restrictions on the other  2 letters?

    So for (a) it would be  12^4 . For (b) it would be  26^4 . For (c) it would be  5^27^2 . And for (d) it would be  5^212^2 ?
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  2. #2
    Junior Member
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    Correct.
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