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    Question

    How many two-digit even numbers can be formed using the

    digits 3, 4, 5, 7, and 8, ensuring that no digit is repeated?
    A 10 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer
    E 12 Correct Answer Incorrect Answer

    Solution

    Solution There will be two cases in which unit digit ends with an even number. In both cases, the number needs to end at either 4 or 8. In both cases, total count of remaining digits = 4 Therefore, total 2-digit number formed = 4C1 X 2C­1 = 4 X 2 = 8

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