Generating all permutations of N balls in M bins

by 
library(partitions)
compositions(3,4)

# [1,] 3 2 1 0 2 1 0 1 0 0 2 1 0 1 0 0 1 0 0 0
# [2,] 0 1 2 3 0 1 2 0 1 0 0 1 2 0 1 0 0 1 0 0
# [3,] 0 0 0 0 1 1 1 2 2 3 0 0 0 1 1 2 0 0 1 0
# [4,] 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 3

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