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    Question

    Using all the letters of the word RELIAN, 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 RELIAN has three vowels тАУ E, I, A.
    If a word starts and ends with a vowel:
    3P2 = 3 ├Ч 2 = 6
    Remaining 4 letters тЖТ 4! = 24
    Total = 6 ├Ч 24 = 144

    Now, to count those that start with a vowel but end with a consonant:
    Start: E, I, A тЖТ 3 ways
    End: R, L, N тЖТ 3 ways
    Middle 4 letters тЖТ 4! = 24

    So total = 3 ├Ч 3 ├Ч 24 = 216

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