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Given a number of dice N and the number of sides on each die S, write a MATLAB function that will output how many unique permutations you will get.

For example, unique_dice(2,6) will roll two six-sided dice, and should output 21. Although there are 36 possible combinations for two six-sided dice, (1,2) and (2,1) are equivalent, so (1,2) only counts once.

Assume that the dice are fair, and have an equal chance of rolling any number. Good luck!

11 correct solutions
8 incorrect solutions

Last solution submitted on Dec 27, 2014