If all the words (with or without meaning) having five letters,formed using the letters of the word $SMALL$ and arranged as in a dictionary,then the position of the word $SMALL$ is:

On the occasion of the Dipawali festival,each student of a class sends a greeting card to every other student. If there are $20$ students in the class,the total number of greeting cards sent by the students is:

If the letters of the word $COCHIN$ are rearranged and all permutations are arranged in alphabetical order as in an English dictionary,how many words appear before the word $COCHIN$?

How many arrangements can be made with $5$ boys and $5$ girls in a row such that boys and girls alternate?

$4$ buses run between Bhopal and Gwalior. If a man goes from Gwalior to Bhopal by a bus and comes back to Gwalior by a different bus,then the total number of possible ways is:

Let $b_{1} b_{2} b_{3} b_{4}$ be a $4$-element permutation with $b_{i} \in \{1, 2, 3, \ldots, 100\}$ for $1 \leq i \leq 4$ and $b_{i} \neq b_{j}$ for $i \neq j$,such that either $b_{1}, b_{2}, b_{3}$ are consecutive integers or $b_{2}, b_{3}, b_{4}$ are consecutive integers. Find the number of such permutations.