You have one hundred marbles, and an infinite supply of trash bags. If you were to put the marbles in the bags, so that no two bags had the same amount of marbles, what is the most bags that you could use?
14 bags
0,1,2,3,4,5,6,7,8,9,10,11,12,22marbles
or 13 is right if you cant have an empty one.