SOLUTION: Find the number of different arrangements that can be made out of the letters of the word „TRIANGLE‟ if the vowels are to come together.

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Question 490903: Find the number of different arrangements that can be made out of the letters of the word „TRIANGLE‟ if the vowels are to come together.
Answer by stanbon(75887) About Me  (Show Source):
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Find the number of different arrangements that can be made out of the letters of the word „TRIANGLE‟ if the vowels are to come together.
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# of letters: 8
# of vowels: 3
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# of arrangements of the 3 vowels: 3! = 6
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Now consider the "vowel arrangement" to be a single letter.
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# of arrangements of the "six" letters: 6! = 720
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Total # of arrangements 6!*3! = 720*6 = 4320
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Cheers,
Stan H.