Find the number of ways in which the letters of the word EPSILON can be arranged in a row so that the three vowels are all next to each other. Is it just 5 * 3! * 4!
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Originally Posted by xwrathbringerx Find the number of ways in which the letters of the word EPSILON can be arranged in a row so that the three vowels are all next to each other. Is it just 5 * 3! * 4! Put the vowels in a box labelled X. So now you have to arrange PSLNX: 5! But the vowels in the box can be arranged: 3! So the total number of arrangements is (5!)(3!) which is the same as your answer. So you are correct.
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