How many integers between $1000$ and $10000$ have no digits other than $4, 5,$ or $6$?

Let $A$ be a set containing $10$ distinct elements. Then the total number of distinct functions from $A$ to $A$ is:

The number of ways in which $5$ beads of different colours form a necklace is

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:

How many words can be formed from the letters of the word $COURTESY$,whose first letter is $C$ and the last letter is $Y$?

The total number of integral solutions for the equation $xyz = 24$ is: