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Deliriously

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Find the number of ways in which the word EPSILON can be arranged in a row so that three vowels are all next to each other. I got a different answer. Is there some trap to this question?
 

lolcakes52

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Part 1:
So consider the three vowels as a unit, because they have to be next to each other. They can be arranged in 3! ways.

Part 2:
Now there are seven letters in total, but when we consider the vowels as a single unit we could say that there are 5 units, the three vowels and each of the four individual consonants. These units can be arranged in 5! ways.

Part 3 :
3!*5! = anwser
 

Deliriously

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Part 1:
So consider the three vowels as a unit, because they have to be next to each other. They can be arranged in 3! ways.

Part 2:
Now there are seven letters in total, but when we consider the vowels as a single unit we could say that there are 5 units, the three vowels and each of the four individual consonants. These units can be arranged in 5! ways.

Part 3 :
3!*5! = anwser
Yup, that's how I interpreted the question.
 

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