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Q.If (1+x)15=r=015crxr(1 + x)^{15} = \sum_{r=0}^{15} c_r x^r, then the value of r=015crr+1\sum_{r=0}^{15} \dfrac{c_r}{r+1} is

a
216116\dfrac{2^{16} - 1}{16}
b
21616\dfrac{2^{16}}{16}
c
21515\dfrac{2^{15}}{15}
d
2161616\dfrac{2^{16} - 16}{16}

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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