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Re: In how many ways can the letters of the word MAXIMA be arran [#permalink]
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Carcass wrote:
In how many ways can the letters of the word MAXIMA be arranged such that all vowels are together and all consonants are together?

(A) 12

(B) 18

(C) 30

(D) 36

(E) 42


Another way you can do the problem if you just want to think about it is we have two groups of 3 letters that need to be next to each other. This can be arranged into two ways (vowels first or consonants first) then each group has 2 repeats. by looking at the form (ABA) we see there are only 3 positions that B can take.

Now we have 2*3*3 = 18.

Probably best to remember the formulas though.

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Re: In how many ways can the letters of the word MAXIMA be arran [#permalink]
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