RUcore feed creatorurn:uuid:3bd0bd4f-5909-bcd2-2281-7571d8fdf452RUcore Syndication System, v1.0Copyright 2020, Rutgers, The State University of New JerseyNight session, Pascal's identity, clip 1 of 7: thinking about the meaning of combinatorics notationhttps://doi.org/doi:10.7282/T3ZK5GH2UnknownThis is the first of seven clips from the night session. In it, Jeff, Michael, and Romina discuss the coefficients of the binomial expansion, specifically (a+b) to the 10th power. In attempting to explain why 45 is the coefficient of the third term in this expansion, the students refer to counting how many 10-tall towers have exactly two cubes of a specific color.
Note: The 10-tall towers problem is an instance of the n-tall towers problem: How many towers n cubes tall is it possible to make when there are two colors of cubes to choose from?