Statement-I: For each natural number \( n,(n+1)^{7}-n^{7}-1 \) is divisible by 7 . Statement-II:...

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Statement-I: For each natural number \( n,(n+1)^{7}-n^{7}-1 \) is divisible by 7 .
Statement-II: For each natural number \( n, n^{7}-n \) is divisible by 7 .
(a) Statement-I is false, Statement-II is true
(b) Statement-I is true, Statement-II is false
(c) Statement-I is true, Statement-II is true; Statement-II is a correct explanation for Statement-I
(d) Statement-I is true, Statement-II is true; Statement-II is not a correct explanation for Statement-I
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