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Math Help - Set Puzzle

  1. #1
    Newbie
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    Apr 2008
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    Set Puzzle

    Hello friends:

    Can anyone solve my below mentioned maths problem...

    Consider a set with 256 numbers (May be integer ,real , etc).

    First step:

    1) From the set of 256 numbers, Pick any 3 numbers
    2) Apply some calculation on the picked numbers to generate 2 numbers (Converting 3 numbers to 2 numbers).
    3) The 2 Numbers should be part of the original set

    Second step:

    To reverse the process, i.e, Converting this 2 Numbers to the original 3 Numbers back.

    1) Take the same 2 numbers
    2) Apply some calculation on the these numbers and get back the original numbers (3 numbers) in the same sequence.

    EXAMPLE:

    (1,2,3,4....256) - Original Set

    (2,55,255) - Random pick from the above set

    (75,155) - Calculating with formula from the above 3 numbers and derive 2 numbers which will pe part of the original set.

    (2,55,255) - Doing reverse calculation of the above 2 numbers and derive the same 3 numbers.

    I would be glad if someone can get an answer and send it to me (kanthss@gmail.com).

    Thanks and regards,
    Srikanth
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  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
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    someplace
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    Quote Originally Posted by kanths View Post
    Hello friends:

    Can anyone solve my below mentioned maths problem...

    Consider a set with 256 numbers (May be integer ,real , etc).

    First step:

    1) From the set of 256 numbers, Pick any 3 numbers
    2) Apply some calculation on the picked numbers to generate 2 numbers (Converting 3 numbers to 2 numbers).
    3) The 2 Numbers should be part of the original set

    Second step:

    To reverse the process, i.e, Converting this 2 Numbers to the original 3 Numbers back.

    1) Take the same 2 numbers
    2) Apply some calculation on the these numbers and get back the original numbers (3 numbers) in the same sequence.

    EXAMPLE:

    (1,2,3,4....256) - Original Set

    (2,55,255) - Random pick from the above set

    (75,155) - Calculating with formula from the above 3 numbers and derive 2 numbers which will pe part of the original set.

    (2,55,255) - Doing reverse calculation of the above 2 numbers and derive the same 3 numbers.

    I would be glad if someone can get an answer and send it to me (kanthss@gmail.com).

    Thanks and regards,
    Srikanth
    What is the question?

    The observation I would make is that there can be no such formula, since
    it maps a set with 256^3 points into a set with 256^2 points, so each
    point in the image must correspond to more than one point in the original
    set and so it cannot be invertible.

    RonL
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