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100 marbles (Posted on 2003-04-29) Difficulty: 3 of 5
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?

  Submitted by Jonathan Waltz    
Rating: 3.5833 (12 votes)
Solution: (Hide)
You can use 101 bags.

Have one bag be empty. Put it aside somwhere.

Put one marble in the second bag.

Put the second bag into the third bag, then put a second marble into the third bag (but outside the second bag) - there are now 2 marbles in the third bag.

Put the third bag into the fourth bag, and add a third marble - the fourth bag now has 3.

Repeat with 100 bags and 100 marbles. Plus you have one empty one.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionPuzzle SolutionK Sengupta2008-04-01 15:29:18
answerK Sengupta2007-05-04 15:10:16
My answer is...Brittany2004-04-17 11:04:09
please ignoreFatBoy2003-09-12 08:25:54
First cut at solutionThomas2003-08-01 10:47:26
re: SumAdam2003-05-04 22:12:27
it seems too ez. i dunnoethan2003-05-04 16:21:05
No Subjectjoe2003-05-03 22:38:24
If stacking isnt allowed....Chaz2003-05-03 11:13:04
Possibly solutionChaz2003-05-03 11:10:06
re: Sumnot_so_einstein2003-04-30 00:24:37
SolutionSumnot_so_einstein2003-04-30 00:18:29
solutionchristine2003-04-29 12:36:49
re(2): Nesting Allowed?Gamer2003-04-29 11:12:37
re: Nesting Allowed?Hank2003-04-29 10:08:00
Solutione2003-04-29 09:29:43
SolutionNesting Allowed?TomM2003-04-29 08:47:10
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