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Q.If (1+x+x2++x6)5=r=030arxr(1 + x + x^2 + \cdots + x^6)^5 = \sum_{r=0}^{30} a_r x^r, then a15a_{15} equals

a
(205)\binom{20}{5}
b
(195)\binom{19}{5}
c
(215)\binom{21}{5}
d
(206)\binom{20}{6}

Correct Answer: Option A

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

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