In How many ways can the letters of the word 'CAPITAL' be arranged in such a way

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Question
In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together?
Options
A. 360
B. 720
C. 120
D. 840

Correct Answer

360

Explanation

CAPITAL = 7

Vowels = 3 (A, I, A)

Consonants = (C, P, T, L)

5 letters which can be arranged in $5 P_{5} = 5!$

Vowels A,I = $\frac{3!}{2!}$

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

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