...I can calculate the number of combinations of two-pair poker hands, the number of ways to order ten single-scoop ice cream cones from 31 flavors, and the number of nonnegative, integral solutions to x_{1} + x_{2} + x_{3} + x_{4} = 15. I know how to apply these counting techniques to the Binomial Theorem and the Multinomial Theorem. I have taught this class at Binghamton University. (read more)