Assertion: generating function | /r/CapableOf | generate binomial coefficients
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text: For instance, since ( 1 + x ) n {\displaystyle (1+x)^{n}} is the ordinary generating function for binomial coefficients for a fixed n, one may ask for a bivariate generating function that generates the binomial coefficients ( n k ) {\displaystyle {\binom {n}{k}}} for all k and n. To do this, consider ( 1 + x ) n {