I'm trying to create a new command to automatically compute fractions and differences while displaying a Binomial coefficient
\usepackage{mathtools} \DeclarePairedDelimiter\braces{(}{)}\NewDocumentCommand{\pbinom}{ m m m m }{ \binom{#2}{#1} {\braces*{#3}}^{#1} {\braces*{#4}}^{#2-#1} }similar to the R function pbinom(q, size, prob)
In the main document I would like to simply write 1 - \pbinom{2}{18}{1/6} and the result that I would like to achieve is
\[ 1 - \binom{18}{2} {\braces*{\frac{1}{6}}}^{2} {\braces*{\frac{5}{6}}}^{16}\]Is it possible to compute differences of fractions and natural numbers in LaTeX perhaps with the use of LaTeX3?
This is a working MWE:
\documentclass[preview]{standalone}\usepackage{mathtools}\DeclarePairedDelimiter\braces{(}{)}\NewDocumentCommand{\pbinom}{ m m m m }{ \binom{#2}{#1} {\braces*{#3}}^{#1} {\braces*{#4}}^{#2-#1} }% pbinom(q, size, prob)% \NewDocumentCommand{\pbinom}{ m m m }{ \binom{#2}{#1} { ? }^{#1} { ? }^{ ? } }\begin{document}\[ 1 - \pbinom{2}{18}{\frac{1}{6}}{\frac{5}{6}}\]% \[% 1 - \pbinom{2}{18}{1/6}% \]\end{document}