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Interlude Binomial Coefficient optional by Harvard Fat Chance #25

Open EmbraceLife opened 6 years ago

EmbraceLife commented 6 years ago

Interlude Binomial Coefficient optional

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Key questions

What interesting about binomial coefficient?

Binomial theorem

$(^n_0) = 1 = (^n_n)$

pascal triangle

Calculate the entries in Pascal's triangle down to the row where n=9, and verify that the sum of the coefficients in that row is equal to 512

What identity do we get when we substitute the values a=1 and b=−1 into the binomial theorem?