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