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    Question

    Find the number of 3-digit numbers that can be formed

    using the digits 0, 1, 4, 5, 7 such that repetition of digits is not allowed.
    A 48 Correct Answer Incorrect Answer
    B 120 Correct Answer Incorrect Answer
    C 504 Correct Answer Incorrect Answer
    D 72 Correct Answer Incorrect Answer

    Solution

    тАв The first digit (hundreds place) cannot be 0 (it must be 1, 4, 5, or 7 тЖТ 4 choices). тАв The second digit can be any of the remaining 4 digits. тАв The third digit can be any of the remaining 3 digits. тАв So, total numbers: 4├Ч4├Ч3=484 \times 4 \times 3 = 48 4├Ч4├Ч3=48

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