Given below are two statements:
Statement $I$: $5$ divides $n^5-n$ wherever $n$ is a nonnegative integer
Statement $II$: $6$ divides $n^3-n$ whenever $n$ is a nonnegative integer
In the light of the above statements, choose the correct answer from the options given below
- Both Statement $I$ and Statement $II$ are correct
- Both Statement $I$ and Statement $II$ are incorrect
- Statement $I$ is correct but Statement $II$ is incorrect
- Statement $I$ is incorrect but Statement $II$ is correct