Drag rhythmic values into up to 8 beat blocks per line to build a drum groove, or click a tile then click a block to place it — handy on a trackpad.

🎵 Discrete Math Lesson 14: The Pigeonhole Principle — Find the Minimum Items Needed to Guarantee a Repeat mess around all you want, nothing here saves
143 BPM
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🎯 Lesson: 0/4 · 🥁 0 solved · 0 badges

Discrete Math, Lesson 14: The Pigeonhole Principle

Math skill: Find the Minimum Items Needed to Guarantee a Repeat

How the beat teaches it: Every slot gives a number of categories and a max allowed per category before a repeat is forced — you need (categories × max) + 1 items to guarantee one category gets more than max. Build that many notes anywhere in the kit.

This is lesson 14 of 24 in RockBlocks Math, Discrete Math, a free course where every lesson turns a math idea into something you can count, hear, and play. The previous lesson, Combinations Excluding a Restricted Case,” covered count Committees That Exclude One Specific Person. Next is Lesson 15, The Handshake Lemma.”

Every slot above (A, B, C, D) is its own question, and it’s a real, blank RockBlocks beat the whole time — the same drag-and-drop tiles, kit, tempo, sheet music, and drummer view as anywhere else on the site. Tap ❓ Questionin the corner to read the current slot’s problem, build your answer right in the grid, then tap ✓ Check Answerto grade it. Once you’re done, keep going: expand the beat, drop it into a Stack, or save a copy to your own page — nothing here overwrites the lesson itself, so every visitor still starts from the same blank slots.