Difference between revisions of "Binomial coefficient"
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Revision as of 05:22, 11 January 2015
The binomial coefficients are defined by the formula $${n \choose k} = \dfrac{n!}{(n-k)!k!}.$$
Properties
Theorem (Binomial Theorem): $(a+b)^n = \displaystyle\sum_{k=0}^n {n \choose k} a^k b^{n-k}$
Proof: █
