Question

    Form all possible words from ASSESSMENT with the

    condition that the vowels are always together. How many are there?
    A 4650 Correct Answer Incorrect Answer
    B 4840 Correct Answer Incorrect Answer
    C 4320 Correct Answer Incorrect Answer
    D 4660 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Vowels = A, E, E Consonants = S, S, S, S, M, N, T Items = 1 (vowel block) + 7 = 8 (S four times) Arrangements = 8! / 4! = 40320 / 24 = 1680 Arrangements of vowels = 3! / 2! = 6 / 2 = 3 Total words = 1680 ├Ч 3 = 5040

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