1.

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

Answer»

(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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