% LaTex2e
\documentclass[12pt]{article}
\usepackage{amssymb,latexsym}

\def\i{{\;\bf i}}
\def\j{{\;\bf j}}
\def\k{{\;\bf k}}
\def\la{\langle}
\def\ra{\rangle}
\def\divider{\par\noindent\hrulefill\par}

\input enum


% save paper style
\oddsidemargin 5pt \evensidemargin 5pt \marginparwidth 68pt
\marginparsep 10pt \topmargin -40pt \headheight 10pt
\headsep 15pt \footskip 35pt
\textheight = 645pt  \textwidth 440pt \columnsep 10pt \columnseprule 5pt

\pagestyle{myheadings}

\def\header{{\hfill Final Exam answers \hfill A. Miller \hfill Fall 2000
                                       \hfill Math 234\hfill}}
\markboth\header\header

\newcounter{probno}
\def\prob{\addtocounter{probno}{1} \par\smallskip\theprobno .$\;\;\;\;$}

\begin{document}
\prob E
\prob C
\prob A
\prob B
\prob C

\prob B
\prob A
\prob D
\prob E
\prob B

\prob D
\prob A
\prob C
\prob D
\prob E

\prob A or F (labels 0,1,2,3 should be 0,1,4,9)
\prob D
\prob C
\prob F
\prob B
\prob B
\prob C
\prob D
\prob B
\prob F
\prob A
\prob E
\prob A
\prob G
\prob A
\prob C
\prob C
\prob D
\prob F
\prob A
\prob  ${2\over 3}(2^{3\over 2}-1)$
\prob  $(1,-1,0)$
\prob  $\pi$

\end{document}