Willys Mistake

bellyflop
Posers and Puzzles 10 Jun '05 06:47
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