Question

Counting question

Answer 1

\(\large \color{black}{\begin{align}
& \normalsize \text{Find the number of ways in which the letters of the word MACHINE }\hspace{.33em}\\~\\
& \normalsize \text{can be arranged so that the vowels may occupy only odd positions. }\hspace{.33em}\\~\\
& a.)\ 4!\times 4! \hspace{.33em}\\~\\
& b.)\ ^{7}P_{3}\times 4! \hspace{.33em}\\~\\
& c.)\ ^{7}P_{4}\times 3! \hspace{.33em}\\~\\
& d.)\ \text{none of these} \hspace{.33em}\\~\\
\end{align}}\)