\begin{definition}[Definition:Binomial Coefficient/Integers/Definition 2]
Let $n \in \Z_{\ge 0}$ and $k \in \Z$.
The number of different ways $k$ objects can be chosen (irrespective of order) from a set of $n$ objects is denoted:
:$\dbinom n k$
This number $\dbinom n k$ is known as a '''binomial coefficient'''.
\end{definition}