All the words that can be formed using the letters $A, H, L, U, R$ are written as in a dictionary (no letter is repeated). Then the rank of the word $RAHUL$ is.......

How many arrangements can be made using the letters of the word $CALCUTTA$?

$8$-digit numbers are formed using the digits $1, 1, 2, 2, 2, 3, 4, 4$. The number of such numbers in which the odd digits do not occupy odd places is:

How many words,with or without meaning,can be formed using the letters of the word $MONDAY$,assuming that no letter is repeated,if all letters are used but the first letter is a vowel?

How many numbers greater than a million can be formed with the digits $2, 3, 0, 3, 4, 2, 3$?

$5$-digit numbers are to be formed using $2, 3, 5, 7, 9$ without repeating the digits. If $p$ is the number of such numbers that exceed $20000$ and $q$ is the number of those that lie between $30000$ and $90000$,then $p : q$ is