Category:Binomial Coefficients

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This category contains results about Binomial Coefficients.
Definitions specific to this category can be found in Definitions/Binomial Coefficients.

Let $n \in \Z_{\ge 0}$ and $k \in \Z$.

Then the binomial coefficient $\dbinom n k$ is defined as:

$\dbinom n k = \begin{cases} \dfrac {n!} {k! \paren {n - k}!} & : 0 \le k \le n \\ & \\ 0 & : \text { otherwise } \end{cases}$

where $n!$ denotes the factorial of $n$.


This category has the following 42 subcategories, out of 42 total.


Pages in category "Binomial Coefficients"

The following 132 pages are in this category, out of 132 total.