Binomial .....

\hspace{-16}$Calculate value of \\\\ $\binom{2010}{1}-\binom{2010}{3}+\binom{2010}{5}+................-\binom{2010}{2007}+\binom{2010}{2009}=$

2 Answers

262

Aditya Bhutra ·2011-11-20 20:54:57

use expansion of (1+x)²⁰¹⁰ and put x=i (where i²=-1)
compare the imaginary parts on both sides.
Ans: 0

Yes Aditya.. that is correct :)

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

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