Sameer has to make a telephone call to his friend Harish, Unfortunately he does not remember the $7$ digit phone number. But he remembers that the first three digits are $635$ or $674$, the number is odd and there is exactly one $9$ in the number. The maximum number of trials that Sameer has to make to be successful is -

If $L=$ the number of ways in which these books are distributed between two students $X$ and $Y$ such that $X$ get $p$ books and $Y$ gets $q$ books.

$M=$ The number of ways in which these books are distributed between two students $X$ and $Y$ such that one of them gets $p$ books and another gets $q$ books.

$N=$ The number of ways in which these books are divided into two groups of $p$ books and $q$ books then -