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Math Help - How many possible conbination can be if a have 128 elements?

  1. #1
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    How many possible conbination can be if a have 128 elements?

    If i have 2 elements a total conbination can be 2*2 = 4 right?

    Matrix 2 * 2

    * *
    * *


    matrix 3*3

    * * *
    * * *
    * * *


    so if have 128 elements, 128 * 128 is the toltal possible elements that can be?


    I am right?
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  2. #2
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    Are you saying that you have 128 distinguishable elements, and you're trying to find the number of combinations of any two of them, assuming repetition is allowed?

    Thank you!
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  3. #3
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    A element can be a zero or one ( on or off ) like a bit.


    so how many possible conbination can happens if a have 128 elements
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  4. #4
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    2^128 will be the right answer?
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  5. #5
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    Hello darkmoon123
    Quote Originally Posted by darkmoon123 View Post
    A element can be a zero or one ( on or off ) like a bit.


    so how many possible conbination can happens if a have 128 elements
    2^128 will be the right answer?
    Yes, it will. The number of ways of choosing each bit is 2; there are 128 choices to be made, so there are 2^{128} combinations altogether.

    What I'm not too clear about is what this has to do with your matrix pattern:
    If i have 2 elements a total conbination can be 2*2 = 4 right?

    Matrix 2 * 2

    * *
    * *


    matrix 3*3

    * * *
    * * *
    * * *


    so if have 128 elements, 128 * 128 is the toltal possible elements that can be?


    I am right?
    This, your first posting, appears to fit in with what stapel said, which is:
    Are you saying that you have 128 distinguishable elements, and you're trying to find the number of combinations of any two of them, assuming repetition is allowed?
    In which case the answer is 128^2.

    So let's be clear:

    • If you have 128 items, each of which can be chosen in 2 ways, then there are 2^{128} ways to choose all 128 items.


    • If you have 2 items, each of which can be chosen in 128 ways, then there are 128^2 ways to choose the 2 items.


    Grandad
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  6. #6
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    Thanks Grandad for the information.
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