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In the expansion of (1+x)^(70), the sum ...

In the expansion of `(1+x)^(70)`, the sum of coefficients of odd powers of `x` is

A

`0`

B

`2^(69)`

C

`2^(70)`

D

`2^(71)`

Text Solution

Verified by Experts

The correct Answer is:
B

`(b)` The sum of the coefficients of odd powers in the expansion of `(1+x)^(n)`
`=` sum of the coefficients of even powers in `(1+x)^(n)`
`=2^(n-1)=2^(70-1)=2^(69)`
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