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March 25, 2017

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a company makes combination locks with 50 numbers printed on the dial. Each lock combination is an arrangement of 3 different numbers. How many locks can the company make without repeating a combination?

  • Math - ,

    A Permutation is an ordered Combination.

    There are basically two types of permutation:

    1-Repetition is Allowed.

    2-No Repetition is allowed.

    Your question is one without repetition.

    To answer, multiply 50 x 49 x 48 =???

    Why did I stop at 48?

    Because the question states

    "Each lock combination is an arrangement of 3 different numbers."

    Now multiply the above numbers and you will find the answer.

    Done!

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