Question

How many numbers less than $10000$ can be made with the eight digits $1,2,3,0,4,5,6,7$?

Answer 1

$⟹$ Less than 10000 that means there can be $4$ digits, $3$ digits, $2$ digits, $1$ digit.
Now, the numbers can also be repeated.
Hence, Total number of Numbers formed $=8\times 8\times 8\times 8$
$=4096$