from scipy.special import*
f=lambda a,b,p:(binom(a*p,b*p)-binom(a,b))/p**3
for i in [[6,2,5], [3,1,13], [7,3,13]]:
print('%2s %2s %2s -> %s'%(i[0],i[1],i[2],f(*i)))
ZnJvbSBzY2lweS5zcGVjaWFsIGltcG9ydCoKZj1sYW1iZGEgYSxiLHA6KGJpbm9tKGEqcCxiKnApLWJpbm9tKGEsYikpL3AqKjMKCmZvciBpIGluIFtbNiwyLDVdLCBbMywxLDEzXSwgWzcsMywxM11dOgoJcHJpbnQoJyUycyAlMnMgJTJzIC0+ICVzJyUoaVswXSxpWzFdLGlbMl0sZigqaSkpKQ==