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    Without repeating the digits 0, 3 and 5, how many different three digit numbers can be formed using these three digits?
    Question

    Without repeating the digits 0, 3 and 5, how many different three digit numbers can be formed using these three digits?

    A.

    1

    B.

    2

    C.

    3

    D.

    4

    Correct option is D

    Given:
    We are asked to form 3-digit numbers using the digits 0, 3, and 5,
    without repeating any digit.

    Concept:
    A 3-digit number cannot start with 0.

    We are to use all 3 digits exactly once in each number.

    So we are calculating the number of 3-digit permutations of 0, 3, and 5 excluding those starting with 0.

    Solution:
    Total permutations of 3 digits without repetition = 3! = 6
    List of all such numbers using 0, 3, 5:

    035 (invalid – starts with 0)

    053 (invalid – starts with 0)

    305

    350

    503

    530

    Only 4 valid three-digit numbers.

    Final Answer: 4

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