A) 250
B) 254
C) 245
D) 252
E) 258
Correct Answer: D
Solution :
\[{{{{(}^{n}}{{C}_{0}})}^{2}}+{{{{(}^{n}}{{C}_{1}})}^{2}}+{{{{(}^{n}}{{C}_{2}})}^{2}}+.....+{{{{(}^{n}}{{C}_{5}})}^{2}}\] \[={{{{(}^{5}}{{C}_{0}})}^{2}}+{{{{(}^{5}}{{C}_{1}})}^{2}}+{{{{(}^{5}}{{C}_{2}})}^{2}}+{{{{(}^{n}}{{C}_{3}})}^{3}}+{{{{(}^{5}}{{C}_{4}})}^{4}}\] \[+{{{{(}^{5}}{{C}_{5}})}^{2}}\] \[=1+25+100+100+25+1\] \[=252\]You need to login to perform this action.
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