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The letters of the word "$UDAYPUR$" are written in all possible ways with or without meaning and these words are arranged as in a dictionary. The rank of the word "$UDAYPUR$" is:

In a $12$-storied building, $3$ persons enter a lift cabin. It is known that they will leave the lift at different floors. In how many ways can they do so if the lift does not stop at the second floor?

$S_1, S_2, \ldots, S_{10}$ are the speakers in a conference. If $S_1$ addresses only after $S_2$,then the number of ways the speakers address is

How many $4$-digit numbers can be formed by using the digits $1$ to $9$ if repetition of digits is not allowed?

Find the total number of $9$ digit numbers which have all the digits different.

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