Night Session, Pascal’s Identity, Clip 7 of 7: Generating and generalizing Pascal’s Identity

This is the last of seven clips from the night session. The students (Ankur, Jeff, Michael, and Romina) explain to Brian, a late-comer, the meaning of Pascal’s Identity (the addition rule for Pascal’s Triangle) in terms of operations on the pizzas that are represented by specific entries in Pascal’s Triangle. They write Pascal’s Identity in general form using standard notation. Note: The n-topping pizza problem is: How many pizzas can be made when there are n different pizza toppings to choose from? The r-th number in the n-th row of Pascal’s Triangle gives the number of pizzas that have exactly r toppings when there are n toppings to choose from.Transcript is also available.Robert B. Davis Institute for Learning. (1999). Night Session, Pascal’s Identity, Clip 7 of 7: Generating and generalizing Pascal’s Identity. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.00005528