Find the coefficient of (x^{4}) in the binomial expansion of ((1 – 2x)^{6}).
-
A.
320 -
B.
240 -
C.
-320 -
D.
-240
Correct Answer: Option B
Explanation
((1 – 2x)^{6} = ^{6}C_{0}(1^{6}) + ^{6}C_{1}(1^{5})(-2x^{1}) + ^{6}C_{2}(1^{4})(-2x^{2}) + ^{6}C_{3}(1^{3})(-2x^{3}) + ^{6}C_{4}(1^{2})(-2x^{4}) + …)
(text{The coefficient of} x^{4} = 15 times 16 = 240)