Solution :
a) 26, 25, 24, 22, 19, 11
b) If the set C
includes the stones weighted 26, 25, 24, and 23 grams, then there are two
subsets with equal weights. If at least one of these stones is not chosen, then
the total weight of any 4 stones from C will be less than 98. The number of
nonempty subsets of C having at most 4 elements is
. Therefore, there are two such subsets,
and
with equal total weights. Then the sets
and
have equal weights.