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    Question

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

    start with a vowel but end with a consonant?
    A 216 Correct Answer Incorrect Answer
    B 144 Correct Answer Incorrect Answer
    C 120 Correct Answer Incorrect Answer
    D 192 Correct Answer Incorrect Answer

    Solution

    The word CANOER has three vowels тАУ A, O, E.
    If a word starts and ends with a vowel: 3P2 = 6 ways
    Remaining 4 letters тЖТ 4! = 24
    Total = 6 ├Ч 24 = 144

    Start with vowel, end with consonant:
    Start: 3 vowels тЖТ A, O, E тЖТ 3 ways
    End: C, N, R тЖТ 3 ways
    Remaining 4 letters тЖТ 4! = 24

    Total = 3 ├Ч 3 ├Ч 24 = 216

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