Question
Find the no. of words formed by using all the letter of
the word DISCOUNT, so that the vowels are never together?Solution
Total number of words formed by using all the letters of the given word = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 Number of words formed when vowels are together = DISCOUNT = 3! × 6! = 6 x 720 = 4320 Number of words formed when vowels are never together = 40320 – 4320 = 36000
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