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Math Help - Total no. of Binary operation

  1. #1
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    Total no. of Binary operation

    Given a set of elements {a,b,c,d} ,then find the total no. of binary operations that can be defined on x ?
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  2. #2
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    Re: Total no. of Binary operation

    Quote Originally Posted by nikhilbhr View Post
    Given a set of elements {a,b,c,d} ,then find the total no. of binary operations that can be defined on x ?
    This is asking for the number of mappings from D={a,b,c,d}x{a,b,c,d} into R={a,b,c,d}.

    Well there are 16 elements in D, and each can be mapped to any of the 4 elements of R.

    CB
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    Re: Total no. of Binary operation

    In this way answer to this question is 4^16 ..But in the book answer to this question was 2^16 ...Please tell me which one is right..
    Thanx for help
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  4. #4
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    Re: Total no. of Binary operation

    Quote Originally Posted by nikhilbhr View Post
    In this way answer to this question is 4^16 ..But in the book answer to this question was 2^16 ...Please tell me which one is right.
    That is almost certainly a typo in the solution manual.
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