Letters of the word DIRECTOR are arranged in such a way that all the vowels come together.
Letters of the word DIRECTOR are arranged in such a way that all the vowels come together. Find out the total number of ways for making such arrangement.
(a) 4320 (b) 2720 (c) 2160 (d) 1120 (e) None of these
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(c) Taking all vowels (IEO) as a single letter (since they come together) there are six letters
Hence no. of arrangements = 6!/2!x3!=2160
[Three vowels can be arranged 3! ways among
themselves, hence multiplied with 3!.]
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