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No: 05       August 24, 2016


ONE HUNDRED COINS

ONE HUNDRED COINS

In how many ways 100 gold coins can be divided into groups, so that the difference between any two groups is at most 2?

Note: Permutations are not considered as different.

Example: If the problem was asked for 6 coins, the answer would be 9:
(1,1,1,1,1,1), (1,1,1,1,2), (1,1,2,2), (1,1,1,3), (1,2,3), (2,2,2), (2,4), (3,3), (6).

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Today's Bonus: 0 point

Popularity: 84.4 %     Difficulty: 59.4 %    

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[ Score Table ]
1. ONE HUNDRED COINS 84.4
2. NUMBERED BALLS 76.9
3. PENTAGON 59.6
4. NUMBERED CARDS 57.7
5. A HOLLOW CUBE 37.5
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[ All Puzzles ]
Comments Add a Comment
   [A HOLLOW CUBE] Note

Dear PuzzleUp Contenders,

The note below has has been added to the problem text:

"The holes go through the whole cube."

Please take notice and submit your answers accordingly.

Regards,
The PuzzleUp Team

PUZZLEUP - August 11, 2016 - 08:32
   [A HOLLOW CUBE] Holes

Does this mean that we can watch through the other side through the hole ? or its just one set of unit cube which is missing ?

peridream - August 10, 2016 - 20:20
   [A HOLLOW CUBE] Question

I assume that the holes of the cube go through the whole cube.

So the depth of the holes IS NOT only one layer.

euklid - August 10, 2016 - 19:10
   [A HOLLOW CUBE] Clarification request

It is not clear whether the hole is only in the 6 faces (the interior of the cube being full) or the holes go through the whole cube (i.e. the figure represents what one can see when one looks at any face of the cube, and one needs to find the maximum number of sticks).

vinc17 - August 10, 2016 - 18:44
   [A HOLLOW CUBE] Question

What is two-cubed shape. Can you draw it?

zel47 - August 10, 2016 - 12:28
   Numbered Balls

Nice, but I think it would have been much better, if you had asked for the exact probability.

Dandelo - August 05, 2016 - 08:59
   [NUMBERED BALLS] brilliant

thats quite a challanging one. tx

allanc - August 04, 2016 - 07:11
   [NUMBERED BALLS]

Good problem

mehmet - August 03, 2016 - 21:43
   [PENTAGON] Change in the text

Dear PuzzleUp Contenders,

To clarify the meaning, the question text has been changed.

Old: "...If a pentagon can be formed by rotating another..."

New: "...If a pentagon can be formed by reflecting and/or rotating another..."

Please take notice and submit your answers accordingly.

Regards,
The PuzzleUp Team

PUZZLEUP - July 27, 2016 - 21:00
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