Question
How many words can be formed with the letter of the word
‘NUMBER’ when alll vowels are never together?Solution
Vowels in the word NUMBER = U, E, rest are 4 consonants Number of ways having vowel together =(1+4)! × 2!= 5! × 2! = 120 × 2 = 240 Total number of words using all letters = 6! = 720 Number of words having vowels are never together = 720 – 240 = 480
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