MathDB

6

Part of 1990 ITAMO

Problems(1)

some marbles are distributed over 2n + 1 bags, each no of marbles the same

Source: 1990 ITAMO p6

1/31/2020
Some marbles are distributed over 2n+12n + 1 bags. Suppose that, whichever bag is removed, it is possible to divide the remaining bags into two groups of nn bags such that the number of marbles in each group is the same. Prove that all the bags contain the same number of marbles.
combinatorics