All the five digits numbers in which each successive digit exceeds its predecessor are arranged in the increasing order of their magnitude. The $97^{th}$ number in the list does not contain the digit:
$4$
$5$
$7$
$8$
The number of four-letter words that can be formed with letters $a, b, c$ such that all three letters occur is
In how many ways can $5$ red and $4$ white balls be drawn from a bag containing $10$ red and $8$ white balls
The number of ways in which five identical balls can be distributed among ten identical boxes such that no box contains more than one ball, is
In an election there are $8$ candidates, out of which $5$ are to be choosen. If a voter may vote for any number of candidates but not greater than the number to be choosen, then in how many ways can a voter vote
The number of ways in which we can select three numbers from $1$ to $30$ so as to exclude every selection of all even numbers is