\(\newcommand{\ord}[1]{\left|#1\right|} \newcommand{\set}[1]{\left\lbrace#1\right\rbrace} \newcommand{\binomial}[2]{\binom{#1}{#2}} \newcommand{\multinomial}[2]{\binom{#1}{#2}} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \)