IIMB 2002 (QA) PYQs

If all letters of the word 'TRILOK' are arranged in all possible manner as they are in a dictionary, then find the rank of the word 'TRILOK'.

How many numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?

The number of ways of selecting two numbers $a$ and $b$, $a$ $\in \{ 2,4,6, \cdots,100\}$ and $\mathrm{b} \in\{1,3,5, \ldots, 99\}$ such that $2$ is the remainder when $\mathrm{a}+\mathrm{b}$ is divided by $23$ is