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In how many different ways can the letters of the word PLASTIC be arranged in such a way that the vowel always come together?

Answer 1:

Total Letters in PLASTIC = 7

Total vowels = 2 

Now, the letters will be = P,L,S,T,C, (IA) = 6 letters

Therefore, both the vowels taken together

Required number of ways = 6! 2! = 1440