Catalan number
Implement a function that returns the nth Catalan number using dynamic programming.
Stirling number
Implement a function to compute Stirling numbers of the second kind S(n,k).
Stars and Bars Count
Implement stars_and_bars_count(n, k) which returns the number of ways to put n identical items into k distinct bins, with bins allowed to be empty.
Multinomial coefficient
Write a function to compute the multinomial coefficient efficiently for given nonnegative counts.
Binomial Coefficient
Implement a function to compute binomial coefficients modulo 10^9+7 for n up to 10^5.
Showing 1–5 of 5 challenges · Math & Number Theory
Math & Number Theory — Python coding challenges
What you will find here
This page lists math & number theory challenges — real Python problems you solve in the browser IDE with instant test feedback. Each challenge includes a clear brief, starter code, and automated checks.
Challenges vs tutorials and quizzes
Challenges test what you can build under constraints. For guided teaching, use our Python tutorials. For quick checks, try quizzes or copy snippets from code samples.