Question: Statement - 1: For each natural number $\mathrm{n},(\mathrm{n}+1)^{7}-\mathrm{n}^{7}-1$ is divisible by $7 .$
Statement - 2: For each natural number $\mathrm{n}, \mathrm{n}^{7}-\mathrm{n}$ is divisible by 7 .
Statement-1 is false, statement-2 is true.
Statement-1 is true, statement-2 is true; Statement-2 is correct explanation
for statement-1.
Statement-1 is true, statement-2 is true; Statement-2 is not a correct explanation
for statement-1.
Statement-1 is true, statement-2 is false.
Correct Option: , 2
Solution: