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    Question

    How many 4-digit even numbers can be formed using digits

    1, 2, 3, 4, 5, 6 without repetition?
    A 110 Correct Answer Incorrect Answer
    B 180 Correct Answer Incorrect Answer
    C 100 Correct Answer Incorrect Answer
    D 155 Correct Answer Incorrect Answer

    Solution

    Units digit even ⇒ {2, 4, 6} ⇒ 3 choices. Remaining 5 digits ⇒ P(5,3) = 5×4×3 = 60. Total = 3×60 = 180.

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