Statement-1: For each natural number \( n \),
\( \mathrm{P} \) \( (... VIDEO
Statement-1: For each natural number \( n \),
\( \mathrm{P} \) \( (n+1)^{7}-n^{7}-1 \) is divisible by 7 .
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Statement-2: For each natural number \( n, n^{7}-n \) 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.
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