Question
Find the number of ways to arrange each letter of the
word 'EDUCATIONAL' such that all the vowels always come together.Solution
Number of letters = 11
Take all the vowels (EUIOAA) as one entity.
Number of letters now = 5 + 1 = 6!
Number of ways to arrange all the letters = 6! = 720
Number of ways to arrange vowels = 6! ÷ 2! = 720 ÷ 2 = 360
Required number of ways = 720 × 360 = 2,59,200
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