Statement-1- The number $blank to the power of 1000 end exponent C subscript 500 end subscript$ is not divisible by 11.Because
Statement-2- If p is a prime, the exponent of p in n! is $open square brackets fraction numerator n over denominator p end fraction close square brackets$ + $open square brackets fraction numerator n over denominator p to the power of 2 end exponent end fraction close square brackets$ + $open square brackets fraction numerator n over denominator p to the power of 3 end exponent end fraction close square brackets$ +……Where [x] denotes the greatest integer $less or equal than$ x.

If both Statement-1 and Statement-2 are true and the Statement-2 is correct explanation of the Statement-1.
If both Statement-1 and Statement-2 are true but Statement-2 is not correct explanation of the Statement-1.
If Statement-1 is true but the Statement-2 is false.
If Statement-1 is false but Statement-2 is true