The coefficient of the 7th term in the binomial expansion of ((2 – frac{x}{3})^{10}) in ascending powers of x is
-
A.
(frac{560}{243}) -
B.
(frac{841}{243}) -
C.
(frac{1120}{243}) -
D.
(frac{4481}{243})
Correct Answer: Option C
Explanation
(^{10}C_{7 – 1} (2^{10 – 6}) (frac{-1}{3})^{6})
(frac{10!}{(10 – 6)! 6!} times 16 times frac{1}{243} )
= (210 times 16 times frac{1}{729} )
= (frac{1120}{243})