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In how many ways can the letter of the word "DRASTIC" be arranged in such a way that the vowels always come together?
1. 520
2. 1440
3. 640
4. 720
5. 120

1 Answer

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Correct Answer - Option 2 : 1440

Given:

The word is DRASTIC.

Calculation:

The vowels in the word = A, I.

The number of vowel is 2.

The number of consonants = 5

Total number of letter in the word = 2 + 5 = 7

The number of ways that the vowels always come together = 6! × 2! = 720 × 2 = 1440

∴The number of ways that the vowels always come together is 1440. 

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