Problem 56448. nth permutation of 11...100...0

Given some number of ones and zeros, numOnes and numZeros respectively, find the nth permutation of the vector [ones(1,numOnes), zeros(1,numZeros)] according to the lexicographical order. For example, if numOnes = 3 and numZeros = 2 then there are nchoosek(5,3) = 10 permutations of 11100. The lexicographic numbering is below
1 11100
2 11010
3 11001
4 10110
5 10101
6 10011
7 01110
8 01101
9 01011
10 00111
so for instance nthPerm(3,2,8) = [0,1,1,0,1]. You can assume that numOnes and numZeros will always be greater than or equal to 1. Lastly, your code should not enumerate all possibilities since one of the test cases contains billions of permutations.
Solve

Solution Stats

83.33% Correct | 16.67% Incorrect
Last Solution submitted on Nov 08, 2022

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers3

Suggested Problems

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!