# Different words are formed using the letters of the word 'INTEGER'. If out of these words, $x$ is number of words in which $I\:and\:N$ are never together and $y$ is no. of words which begin with I and end with R, then $\large\frac{x}{y}=?$
$\begin{array}{1 1} 42 \\ 36 \\ 30 \\ \frac{1}{30} \end{array}$