Counting problems can involve the counting of combinations, permutations, factorials, pathways using Pascal’s Triangle, partitions and complements, and many more. In this lesson many different types of counting problems (some easy and some harder) were given to groups of teachers to solve in whatever way they preferred.

Combinatorics
Number Theory

Try a Smaller Problem
Work Backwards

MP1 - Make sense of problems and persevere in solving them.
MP2 - Reason abstractly and quantitatively.
MP6 - Attend to precision.
MP7 - Look for and make use of structure.