Stars and Bars with PIE: Determine the Number of Ways of Putting Balls in Bins with Upper Bound

This video explains how to use the stars and bars method of counting with PIE to solving a counting problem.

Stars and Bars with PIE: Find the Number of Meals from a Dollar Menu with Conditions

This video explains how to use the stars and bars method of counting with PIE to solving a counting problem.

List All Possible Function Given Domain an Codomain Then Determine if Surjective, Injective, and Bijective (8)

This video explains how to list all possible functions given a finite set for the domain and codomain.  Then determine how many of the functions are surjective, injective, or bijective.

List All Possible Function Given Domain an Codomain Then Determine if Surjective, Injective, and Bijective (9)

This video explains how to list all possible functions given a finite set for the domain and codomain.  Then determine how many of the functions are surjective, injective, or bijective.