<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass[11pt]{article}
\usepackage[margin=1in]{geometry}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{mathtools}
\usepackage[T1]{fontenc} % Fix ASCII symbols in text mode

\DeclarePairedDelimiter{\ceil}{\lceil}{\rceil}
\DeclarePairedDelimiter{\floor}{\lfloor}{\rfloor}

% Each question takes a fixed amount of space
\newenvironment{question}[1]{
\vspace{1em}
\begin{minipage}[t][4in][t]{\textwidth}
\textbf{Question #1:}}
{\end{minipage}}

\begin{document}

% Disable paragraph indentation
\setlength{\parindent}{0em}

\section*{Written Assignment 1}

\begin{question}{1}
Define the following terms and provide examples of each:
\begin{itemize}
\item Integers
\item Real numbers
\item Positive numbers
\item Nonnegative numbers
\item Sets
\item Finite sets
\item Cardinality of a set
\item A function
\item \( \lfloor x \rfloor \) and \( \ceil{x} \)
\item \( p \mid q \text{ and } p \nmid q \)
\end{itemize}
\end{question}

\clearpage

\begin{question}{2}
Solve book problem 1.1

% Your answer goes here
\end{question}

\begin{question}{3}
Solve book problem 1.2

% Your answer goes here
\end{question}

\begin{question}{4}
Solve book problem 1.7

% Your answer goes here
\end{question}

\begin{question}{5}
What is the minimum number of students required in CSCI 122 so that at least 23 students will receive:
\begin{itemize}
\item letter grade D+ or F
\item the same letter grade (i.e., A, A-, B+, B, B-, C+, C, or F)
\end{itemize}
\textbf{Hint:} One of these questions is unanswerable. Explain why.
\end{question}

\begin{question}{6}
A standard 52 card deck has 13 cards of each suit (i.e., Clubs, Spades, Hearts, and Diamonds). Determine the smallest n such that every set of n cards from the deck contains:
\begin{itemize}
\item 12 Diamonds
\item 7 cards of the same suit (called a flush)
\end{itemize}
\textbf{Hint:} The pigeonhole principle only applies to one of these questions, but both questions have answers.
\end{question}

\end{document}
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