In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together?

In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together? Correct Answer 360

CAPITAL = 7

 

Vowels = 3 (A, I, A)

 

Consonants = (C, P, T, L)

 

5 letters which can be arranged in  5P5=5!

 

Vowels A,I = 3!2!

 

No.of arrangements = 5! x 3!2!=360

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