Finish lecture

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Blizzard Finnegan 2022-03-22 13:04:47 -04:00
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% File: 20-01-2022.tex
% Created: 12:28:35 Thu, 20 Jan 2022 EST
% Last Change: 12:28:35 Thu, 20 Jan 2022 EST
%
\documentclass[letterpaper]{article}
\usepackage{amsmath}
\usepackage{graphicx}
\usepackage{cancel}
\usepackage{amssymb}
\usepackage{listings}
\usepackage[shortlabels]{enumitem}
\usepackage{soul}
%\usepackage[smartEllipses,hashEnumerators,hybrid]{markdown}
\usepackage{geometry}
\usepackage{dirtytalk}
\usepackage{mathtools}
\usepackage{lplfitch}
\geometry{portrait, margin=1in}
%\begin{minted}[linenos,bgcolor=LightGray]{[language]}
\date{03/15/2022}
\title{%
Counting\\
\large MATH--190--01 : Discrete Mathematics for Computing}
\author{Blizzard MacDougall}
\begin{document}
\maketitle
\pagenumbering{arabic}
\section{Basics of counting}
If a task can be done either $n_1$ ways or $n_2$ ways, the number of the ways
to do the task, then
\begin{equation}
|n_1\cup n_2|=|n_1|+|n_2|-|n_1\cap n_2|
\end{equation}
\section{The Pidgeonhole Principle}
If there are more objects than slots to hold them, some slot has to hold more than one object.
\end{document}