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Question

In how many different ways can the letters of the word ‘SURGICAL’ be arranged so that the vowels always come together ?

A 4420 ways Correct Answer Incorrect Answer
B 720 ways Correct Answer Incorrect Answer
C 360 ways Correct Answer Incorrect Answer
D 4320 ways Correct Answer Incorrect Answer
E 1440 ways Correct Answer Incorrect Answer

Solution

The word SURGICAL contains 8 different letters When the vowels ‘UIA’ are always together, they can be supposed to form one letter Then, we have to arrange the letters SRGCL(UIA) Now 6 letters can be arranged in 6! = 720 ways The vowels (UIA) can be arranged among themselves in 3! = 6 ways ∴ Required number of ways = 720 × 6 = 4320 ways.

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