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My maplet (author :Xavier Cormier) studies the partitioning of a set and the decomposition of an integer into a sum.
It can be used in the case of a dice roll.

It determines:
- the number of times each face is obtained for n rolls for an m-sided die.
- the decomposition of an integer nx into the sum of mx integers.
- the partitioning of a set into u non-empty, disjoint pairwise parts.
- the partitions of an integer as well as the dice rolls having a given sum and the probability (equiprobability) of obtaining this sum.

Go to my link on Maple Cloud :

https://maple.cloud/app/6553582941372416/decomposition+d%27un+entier+en+somme+et+partage+d%27une+liste+en+parties+-+app+pour+lanc%C3%A9s+de+d%C3%A9s?key=8533B69313624ADCBE181600B15A1F4F5DDBBFAE86694B479CE492515459A2C9

 
integer combinatorics partition

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