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If (1+x)^(2010)=C(0)+C(1)x+C(2)x^(2)+ ……...

If `(1+x)^(2010)=C_(0)+C_(1)x+C_(2)x^(2)+ …….+C_(2010) x^(2010)` then the sum of series `C_(2)+C_(5)+C_(8)+ ……… +C_(2009)` equals to :

A

`(1)/(2)(2^(2010)-1)`

B

`(1)/(3) (2^(2010)-1)`

C

`(1)/(2) (2^(2009)-1)`

D

`(1)/(3)(2^(2009)-1)`

Text Solution

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The correct Answer is:
B
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