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Combinatorics coding challenges

Practise combinatorics with 6 coding challenges, from easy to hard. Every challenge runs in your browser with instant tests, an AI review of your code and community solutions to compare.

Easy · 2 Medium · 4

Skills you'll practise: 2D listsAttack patternsBinomial coefficientsBuilding from previous rowsClosed formulasCounting combinationsCounting pairsCounting placementsGrid path countingModular countingRecurrencesUnbounded knapsack
  • Python · C++ · C#
  • Automated tests
  • AI code review
  • Community solutions
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6 challenges
Medium

Count Grid Paths

Count routes across a rectangular grid using only right and down moves.

You'll learn Grid path countingBinomial coefficients
CombinatoricsDynamic-programming
Python C++ C#
0 solved
No solutions yet
Medium

Count Dice Sequences

Count ordered die-roll sequences with a given total.

You'll learn RecurrencesModular counting
CombinatoricsDynamic-programming
Python C++ C#
0 solved
No solutions yet
Medium

Count Coin Combinations

Count ways to make an amount with unlimited coins of specified denominations.

You'll learn Unbounded knapsackCounting combinations
CombinatoricsDynamic-programming
Python C++ C#
0 solved
No solutions yet
Medium

Two Nonattacking Knights

Count safe placements of two knights for each square board size.

You'll learn Counting placementsAttack patterns
Combinatoricsmath
Python C++ C#
0 solved
No solutions yet
Easy

Count Handshakes

Count handshakes when every pair of people shakes hands once.

You'll learn Counting pairsClosed formulas
Combinatoricsmath
Python C++ C#
0 solved
No solutions yet
Easy

Pascal’s Triangle

Build rows by adding neighboring entries from the previous row.

You'll learn 2D listsBuilding from previous rows
ArraysCombinatorics
Python C++ C#
0 solved
No solutions yet

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