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    Question

    How many words can be formed with the letter of the word

    ‘NUMBER’ when alll vowels are never together?
    A 720 Correct Answer Incorrect Answer
    B 960 Correct Answer Incorrect Answer
    C 240 Correct Answer Incorrect Answer
    D 480 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    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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