Binomial Coefficient and Symmetry

The value of the binomial coefficient [math]\binom{n}{k}[/math] is the same for the values of [math]k[/math] that are equidistant from [math]0[/math] and [math]n[/math].[br]In general, given two natural numbers [math]n[/math] and [math]k[/math], [math]0\le k\le n[/math], we have that [math]\binom{n}{k}=\binom{n}{n-k}[/math].[br][br]Explore this property in the app below, and discover the symmetry of values of the binomial coefficients.

Information: Binomial Coefficient and Symmetry