Statement - 1: For each natural number

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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 .

  1.  Statement-1 is false, statement-2 is true.

  2.  Statement-1  is  true,  statement-2  is true; Statement-2  is  correct explanation

        for statement-1.

  3. Statement-1  is  true,  statement-2  is true; Statement-2 is not a correct explanation

         for statement-1.

  4.  Statement-1 is true, statement-2 is false.

Correct Option: , 2

Solution:

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