Editing Gaussian binomial coefficient (section)

{{Short description|Family of polynomials}}
{{Use American English|date = March 2019}}
{{more footnotes needed|date=March 2019}}
In [[mathematics]], the '''Gaussian binomial coefficients''' (also called '''Gaussian coefficients''', '''Gaussian polynomials''', or '''''q''-binomial coefficients''') are [[q-analog|''q''-analog]]s of the [[binomial coefficients]]. The Gaussian binomial coefficient, written as <math> \binom nk_q</math> or <math>\begin{bmatrix}n\\ k\end{bmatrix}_q</math>, is a polynomial in ''q'' with integer coefficients, whose value when ''q'' is set to a prime power counts the number of subspaces of dimension ''k'' in a vector space of dimension ''n'' over <math>\mathbb{F}_q</math>, a [[finite field]] with ''q'' elements; i.e. it is the number of points in the finite [[Grassmannian]] <math>\mathrm{Gr}(k, \mathbb{F}_q^n)</math>.