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Math Help - Total number of combinations for combination lock

  1. #1
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    Total number of combinations for combination lock

    Hi, does anyone know how to calculate the total number of combinations for a 6XN combination lock? i.e. for each of the 6 wheel columns, there are N possible numbers.
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  2. #2
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    Re: Total number of combinations for combination lock

    Quote Originally Posted by scalpmaster View Post
    Hi, does anyone know how to calculate the total number of combinations for a 6XN combination lock? i.e. for each of the 6 wheel columns, there are N possible numbers.
    There are six positions that can be filled by any one of N numbers.

    So what is the answer?
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  3. #3
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    Re: Total number of combinations for combination lock

    Quote Originally Posted by Plato View Post
    There are six positions that can be filled by any one of N numbers.

    So what is the answer?
    Not sure, 6^N?
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    Re: Total number of combinations for combination lock

    Quote Originally Posted by scalpmaster View Post
    Not sure, 6^N?
    Can you explain why you think that is the answer.
    Here is a hint there are 10^3 three digit numbers from 000,001,\cdots 999.
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    Re: Total number of combinations for combination lock

    Quote Originally Posted by Plato View Post
    Can you explain why you think that is the answer.
    Here is a hint there are 10^3 three digit numbers from 000,001,\cdots 999.
    Seems more like N^6 instead from your hint?
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    Re: Total number of combinations for combination lock

    Quote Originally Posted by scalpmaster View Post
    Seems more like N^6 instead from your hint?
    Which one do you think it is and why?

    The lock looks like: \boxed{|__}\boxed{|__}\boxed{|__}\boxed{|__}\boxed  {|__}\boxed{|__}
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  7. #7
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    Re: Total number of combinations for combination lock

    Quote Originally Posted by Plato View Post
    Which one do you think it is and why?

    The lock looks like: \boxed{|__}\boxed{|__}\boxed{|__}\boxed{|__}\boxed  {|__}\boxed{|__}
    NxNxNxNxNxN
    looks more like N^6?
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