Combinations with repetitions
func cwr (n, l, a = []) {
n>0 ? (^l -> map {|k| __FUNC__(n-1, l.slice(k), [a..., l[k]]) }) : a
}
cwr(2, %w(iced jam plain)).each {|a|
say a.map{ .join(' ') }.join("\n")
}
Also built-in:
%w(iced jam plain).combinations_with_repetition(2, {|*a|
say a.join(' ')
})
Output:
iced iced
iced jam
iced plain
jam jam
jam plain
plain plain
Efficient counting of the total number of combinations with repetition:
func cwr_count (n, m) { binomial(n + m - 1, m) }
printf("\nThere are %s ways to pick 7 out of 10 with repetition\n", cwr_count(10, 7))
Output:
There are 11440 ways to pick 7 out of 10 with repetition