If \( (x+1)(x+2)(x+3)(x+k)+1 \) is a perfect square, then the value of \( k \) is (a) 4 (b) 5 (c) 6

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If \( (x+1)(x+2)(x+3)(x+k)+1 \) is a perfect square, then the value of \( k \) is
(a) 4
(b) 5
(c) 6
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