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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