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If the coefficients of x^3 and x^4 in th...

If the coefficients of `x^3` and `x^4` in the expansion of `(1""+a x+b x^2)""(1-2x)^(18)` in powers of x are both zero, then (a, b) is equal to (1) `(16 ,(251)/3)` (3) `(14 ,(251)/3)` (2) `(14 ,(272)/3)` (4) `(16 ,(272)/3)`

A

`(16,251/(3))`

B

`(14,251/(3))`

C

`(14,272/(13))`

D

`(16,272/(3))`

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The correct Answer is:
D
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