Counting & Combinatorics

Permutations, combinations, multinomials, stars and bars, inclusion-exclusion, and pigeonhole.

0 / 25 solved
0/25 solved
Question Tags Difficulty Success
1. Aces for All
MathCounting & Combinatorics +2
Easy 38%
2. Two Decks, Fifteen Cards Lost
countingcomplementary-counting +2
Medium 38%
3. Two Cakes, Six Customers
binomialindependence +2
Easy 44%
4. Meeting Somewhere on the Grid
lattice-pathssymmetry +2
Medium 32%
5. Heaviest Weight, Heavier Pan
countingsymmetry +2
Medium 60%
6. Specific Card #3
MathCounting & Combinatorics +2
Medium 50%
7. Picking Balls #3
MathCounting & Combinatorics +2
Medium 33%
8. Coin Race #2
MathCounting & Combinatorics +2
Medium —
9. Dice Order
MathCounting & Combinatorics +2
Medium —
10. Running Rabbit
MathCounting & Combinatorics +2
Medium 60%
11. Invertible Two by Two Mod 11
countingproduct-rule +2
Medium —
12. Rat Poison III
MathCounting & Combinatorics +2
Medium —
13. Testing Eggs I
MathCounting & Combinatorics +2
Medium —
14. Ghost Writer II
MathCounting & Combinatorics +2
Medium 22%
15. Remaining Gum
MathCounting & Combinatorics +2
Medium —
16. Grid Intersection
MathCounting & Combinatorics +2
Medium —
17. Transpositions Back to 1234
permutationsexpectation +2
Medium —
18. Five Aces
MathCounting & Combinatorics +2
Medium —
19. All Values Represented
MathCounting & Combinatorics +2
Medium —
20. Three Cards Difference
MathCounting & Combinatorics +2
Hard —
21. How Many Pairs
MathCounting & Combinatorics +2
Hard —
22. Circular Ant I
MathCounting & Combinatorics +2
Hard —
23. Four Eggs, Eight Drops
countingbinomial-coefficients +2
Hard —
24. Choose Your Order
MathCounting & Combinatorics +2
Hard —
25. Dyck Path III
MathCounting & Combinatorics +2
Hard —

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25 of 25 questions here are still unsolved.