def binomial_coeffi(n, k): if (k == 0 or k == n): return 1 return (binomial_coeffi(n - 1, k - 1) + binomial_coeffi(n - 1, k)) def rencontres_number(n, m): if (n == 0 and m == 0): return 1 if (n == 1 and m == 0): return 0 if (m == 0): return ((n - 1) * (rencontres_number(n - 1, 0)+ rencontres_number(n - 2, 0))) return (binomial_coeffi(n, m) * rencontres_number(n - m, 0))