A) \[C_{0}^{2}+2C_{1}^{2}+....+(n+1)C_{n}^{2}\]
B) \[{{({{C}_{0}}+{{C}_{1}}+....+{{C}_{n}})}^{2}}\]
C) \[C_{0}^{2}+C_{1}^{2}+.....+C_{n}^{2}\]
D) None of these
Correct Answer: C
Solution :
As in Previous question, obviously the term independent of x will be \[^{n}{{C}_{0}}{{.}^{n}}{{C}_{0}}+{{\,}^{n}}{{C}_{1}}{{.}^{n}}{{C}_{1}}+{{.....}^{n}}{{C}_{n}}{{.}^{n}}{{C}_{n}}=C_{0}^{2}+C_{1}^{2}+....+C_{n}^{2}\].
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