How many words can be formed from the letters of the word quot SIGNATURES quot so that vowels always...........

Quantitative Aptitude ( CCS) Permutation & Combination

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How many words can be formed from the letters of the word "SIGNATURES" so that vowels always come together.

17,000

17,200

17,220

60,480

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Explanation:

Word SIGNATURES contains total 10 letters.
There are four vowels in this word, I, A, U and E
Make it as, SGNTRS(IAUE), consider all vowels as 1 letter for now
So total letter are 7.
7 letters can be arranged in 7!/2! ways = 2520 ways
Vowels can be arranged in themselves in 4! ways = 24 ways
Required number of ways = 2520*24 = 60480