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    Question

    Using all the letters of the word IMPACT, how many words

    start with a vowel but end with a consonant?
    A 192 Correct Answer Incorrect Answer
    B 108 Correct Answer Incorrect Answer
    C 160 Correct Answer Incorrect Answer
    D 120 Correct Answer Incorrect Answer

    Solution

    The word IMPACT has two vowels – I and A.
    If a word starts and ends with a vowel, total arrangements =
    2P2 = 2 Ă— 1 = 2
    Remaining 4 letters → 4! = 24
    Total = 2 Ă— 24 = 48

    If a word starts with a vowel and ends with a consonant,
    First letter: I or A → 2 ways
    Last letter: M, P, C, T → 4 ways
    Middle 4 letters: 4! = 24 ways

    So total = 2 Ă— 4 Ă— 24 = 192

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