In Milkshakes, Beads, and Pascal’s Triangles, we have talked about a systematic way of choosing a combination of objects from a larger number of objects. Let us recall the problem in the said post. Issa went to a shake kiosk and want to buy a milkshake. The shake vendor told her that she can choose […]

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# Combinatorics

## The Unfinished Game Problem

In the Milk, Beads and Pascal’s Triangle article, we have talked about the Sister’s Dilemma, and how they toss coins and later roll dice to solve their problem. In this post, we are going to talk more about tossing coins and how they are connected to other mathematical topics. The Interrupted Game In a chess […]

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## The Binomial Expansion

Note: This is the second part of the Binomial Expansion Series Part I: Milkshakes, Beads, and Pascal’s Triangle Part II: Binomial Expansion In the Milkshakes, Beads, and Pascal’s Triangle article, we have shown that the combination of the binary numbers 1 and 0 may be interpreted as the number the flavors of milk shakes, or […]

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