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If the coefficient of x^(3) and x^(4) in...

If the coefficient of `x^(3)` and `x^(4)` in the expansion of `(1+ax+bx^(2)) (1-2x)^(18)` in power of x are both zero, then `(a,b)` is equal to

A

`(16,(251)/(3))`

B

`(14,(251)/(3))`

C

`(14,(272)/(3))`

D

`(16,(272)/(3))`

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The correct Answer is:
D
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