Latest CAT Aptitude Question SOLUTION: how many words can be formed from latters of the word 'DIRECTOR' so that the vowels are always together??

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how many words can be formed from latters of the word 'DIRECTOR' so that the vowels are always together??

Asked In CAT jasmina kamani (12 years ago)

Solved Pargat Pal Singh Read Solution (3)

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Pargat Pal Singh  (12 years ago)

DIRECTOR

no of vowels = 3 ( i,e,o)
no of consonants = 5( d,r,c,t,r)

3 vowels will be considered as a group while making words as per given condition and 3 vowels in the group can be arranged in 3! ways.
No of words that can be formed from letters of the word 'DIRECTOR' so that the vowels are always together = 3!*6!/2= 6*360= 2160

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Pargat Pal Singh  (12 years ago)

DIRECTOR

no of vowels = 3 ( i,e,o)
no of consonants = 5( d,r,c,t,r)
No of words that can be formed from letters of the word 'DIRECTOR' so that the vowels are always together = 3!*5!/2= 6*60= 360

Is this solution Helpfull? Yes | No (6)  

uday narayan maurya  (12 years ago)

D is receating two times..factorial 8/factorial 2=20160

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