Combinations

Invite your middle school students to this set of problems.

This article explains couple of important properties of triangular numbers, how they can be used in puzzle solving, and how triangular numbers are related to combinations. Concepts are explained in the form of puzzles and graphical illustrations. Triangular numbers are the count of objects that can be arranged in the form of an equilateral triangle. (Just like how square number s are the count of objects that can arranged in the form of a square).

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