Suppose you have 27 weights weighing: 1², 2², 3², 4², ........, 25², 26² and 27² grams respectively.
(a)How can you group them into three groups so that each group has the same weight ?
(b) Is it possible to divide it into more than three groups satisfying the same conditions ?
first group 27,26,25,24,23,1 second group 22,21,20,19,18,17,9 third group 16,15,14,13,12,11,10,8,7,6,5,4,3,2 and to the second question yes