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Posers and Puzzles

Posers and Puzzles

  1. 10 Jun '05 06:47
    The set (1,2,3,4) can be partioned into two subsets (1,4) and (2,3) of the same size. 1+4=2+3
    a)find the next whole number n, above 4, for which the set (1,2,...n) can be paritioned into two subsets S and T of the same size, with the sum of S and T the same.

    b)find all partition in a) with the additional property that the sum of the squares of the numbers in S equals the sum of the squares of the numbers in T.

    Terri says she can partition the set (1,2...16) into subsets S and T of the same size so that:
    - the sum of the numbers in S equals the sum of T
    -the sum of the squares of the number in S equals the sum of the squares of the numbers in T.
    -the sum of the cubes of the numbers in S equals the sum of the cubes of the numbers in T.

    c) show terri is right.

    Willy says she can partition the set (1,2...8) into subsets S and T, not necessarily the same size so that:
    - the sum of the numbers in S equals the sum of T
    -the sum of the squares of the number in S equals the sum of the squares of the numbers in T.
    -the sum of the cubes of the numbers in S equals the sum of the cubes of the numbers in T.

    d)show why you dont belive willy
  2. 10 Jun '05 10:16
    this has already been done. twice
  3. 11 Jun '05 02:33
    yeh but only a has been done da rest hasnt been done
  4. 11 Jun '05 05:45
    fine.

    b) 8,5,3,2 and 7,6,4,1
  5. 13 Jun '05 00:51
    common PEOPLE PLEASE IM STUCK ON C AND D
  6. 13 Jun '05 00:51
    thanks do u know how to do c) and d) coz im stuck please help
  7. 13 Jun '05 02:38
    c) just find a partition that works
    d) just test all and see...

    i know these are lame answers, but i forgot to copy my solutions before i sent them in...
  8. 13 Jun '05 08:20
    plzzzzzzzzzzzzzzzzzzzzzzzzzzz i need it plz man comon