Problem 24 : Lexicographic permutations

Problem Statement

A permutation is an ordered arrangement of objects. For example, 3124 is one possible permutation of the digits 1, 2, 3 and 4. If all of the permutations are listed numerically or alphabetically, we call it lexicographic order. The lexicographic permutations of 0, 1 and 2 are:

What is the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?

Solution

from itertools import permutations
perms = [''.join(p) for p in permutations('0123456789')]
prm=sorted(perms)
print(prm[10**6-1]) 

Output

2783915460