有没有好的方法可以在 enumerate 中使用 align* 环境?到目前为止,除了项目符号开头的额外间距外,它是完美的。我看到过使用 aligned 的建议,但 aligned 似乎不支持 \intertext,而我有点需要它。添加负垂直空间是我目前的解决方案,但似乎不是一个很好的解决方案。
\begin{enumerate}[a)]
\item Since the order in which the team members are picked does not matter:
\[\dbinom{12}{3} = \boxed{220}\]
\item There are $\binom{7}{2}$ ways of selecing the women and $\binom{5}{1}$
ways of selecting the men. There are 220 total ways (from part (a)):
\[\dfrac{\binom{7}{2} \binom{5}{1}}{220} = \boxed{\dfrac{21}{44}}\]
\item \begin{align*}
\intertext{Let $W$ be the event that there are at least two women on the team, and let
$M$ be the event that there is at least one man on the team. There are}
\dbinom{7}{2}\dbinom{5}{1} + \dbinom{7}{3}\dbinom{5}{0} & = 140 \\
\intertext{teams with at least two women. There are}
\dbinom{7}{2}\dbinom{5}{1} & = 105 \\
\intertext{teams with at least two women and at least one man
(the same as exactly two women and one man!). Therefore,}
P(M|W) = \dfrac{105}{140} & = \boxed{\dfrac{3}{4}}.
\end{align*}
\end{enumerate}