In Twoland, the only money is coins with value 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, and so on. How many ways can change be given, following Twoland’s strict rules? In this whimsical session, participants will practice precision and organizational skills. This session is also suitable for student math circles and the classroom.

Algebra / Arithmetic
Combinatorics
Number Theory

Try a Smaller Problem

MP1 - Make sense of problems and persevere in solving them.
MP4 - Model with mathematics.
MP5 - Use appropriate tools strategically.
MP6 - Attend to precision.
MP7 - Look for and make use of structure.
MP8 - Look for and express regularity in repeated reasoning.