Problem of the Month - January 2024

In how many ways can 15 identical red blocks be put into four piles so that each pile has at least one block and no two piles have the same number of blocks? 

(The order of the piles does not matter).

Solution(s) 

There are 6 ways to create four piles with 15 objects and no piles have the same number of objects.

1 2 3 9

1 2 4 8

1 2 5 7

1 3 4 7

1 3 5 6

2 3 4 6

 

 

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