The number of positive divisors of $360$ which are multiples of $3$ is

The number of sequences of ten terms,whose terms are either $0$,$1$,or $2$,that contain exactly five $1$s,exactly three $2$s,and two $0$s,is equal to:

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

If $\alpha$ and $\beta$ are the greatest common divisors of $n(n^2-1)$ and $2n(n^2+2)$ respectively for all $n \in N$, then $\alpha \beta=$

The total number of $3$-digit numbers whose greatest common divisor (g.c.d.) with $36$ is $2$ is:

The coefficient of $x^{10}$ in the expansion of $(x+\frac{2}{x}-5)^{12}$ is