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    What is the number of different matrices, each having 4 entries that can be formed using 1, 2, 3, 4 (repetition is allowed)?
    Question

    What is the number of different matrices, each having 4 entries that can be formed using 1, 2, 3, 4 (repetition is allowed)?

    A.

    72

    B.

    216

    C.

    254

    D.

    768

    Correct option is D


    First entry : There are 4 possible choices (1, 2, 3, or 4).
    Second entry : There are 4 possible choices (1, 2, 3, or 4).
    Third entry : There are 4 possible choices (1, 2, 3, or 4).
    Fourth entry : There are 4 possible choices (1, 2, 3, or 4).

    ⟹ 768 ways

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