How many words can be formed from the letters of the word ‘DIRECTOR’
So that the vowels are always together?  Choose the correct choice from the following
A) 360  B) 60  C) 36  D) 2160  E) 2010
In the given word, we treat the vowels IEO as one letter.   Thus, we have DRCTR (IEO).   This group has 6 letters of which R occurs 2 times and others are different.   Number of ways of arranging these letters = 6!/2! = 360.   Now 3 vowels can be arranged among themselves in 3! = 6 ways.   Required number of ways = (360x6) = 2160.   ANSWER 2160 2160
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How many words can be formed from the letters of the word ‘DIRECTOR’
So that the vowels are always together?