Generating function explained
Generating function is one of the most important, and yet, most confusing topics in discrete mathematics and combinatorics. Today, I am going over basic of basic of generating function, including addition and multiplication of generating function and examples.
In the video at 6:49, you may notice and the constant term of the generating function and the value at n=0 are different and here is why: Adding generating function taking the 'or' literally. Meaning it will count construction 1 and 2 differently even when they might look the same. In this case, we have 2 in generating function because it says there are two way to pick 0: 0 shirt or 0 sock. I know it's odd, but that how it works. :-(
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