Four dice (six-faced) are rolled. The number of possible outcomes in which at least one die shows $2$ is

In a shop,there are $5$ types of ice-creams available. $A$ child buys $6$ ice-creams.
Statement-$1$: The number of different ways the child can buy the $6$ ice-creams is $^{10}C_5$.
Statement-$2$: The number of different ways the child can buy the $6$ ice-creams is equal to the number of different ways of arranging $6$ $A$'s and $4$ $B$'s in a row.

Six '$+$' and four '$-$' signs are to be placed in a straight line so that no two '$-$' signs come together. Then,the total number of ways is:

If $33!$ is divisible by $2^n$,where $n \in N$,then the sum of all possible values of $n$ is:

In how many ways can $10$ people line up at a ticket window of a cinema hall?

The sum of the divisors of $2^5 \cdot 3^4 \cdot 5^2$ is