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