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

CAPITAL = 7

Vowels = 3 (A, I, A)

Consonants = (C, P, T, L)

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

Vowels A,I =  $\frac{3!}{2!}$

No.of arrangements = 5! x  $\frac{3!}{2!}$=360