The number of positive divisors of $252$ is

For any integer $n \geq 1$,the number of positive divisors of $n$ is denoted by $d(n)$. Then,for a prime $P$,$d(d(d(P^7)))$ is equal to

Total number of divisors of $480$ that are of the form $4n + 2$,where $n \geq 0$,is equal to:

The coefficient of $x^{1012}$ in the expansion of $(1 + x^n + x^{253})^{10}$,where $n \leq 22$ is any positive integer,is

Three players play a total of $9$ games. In each game,one person wins and the other two lose; the winner gets $2$ points and the losers get $-1$ each. The number of ways in which they can play all the $9$ games and finish each with a zero score is

The coefficient of $x^{10}$ in the expansion of $(1+x^2-x^3)^8$ is