Practice By Tag: Newton's Binomial Theorem

Question: 2013 Fall Midterm - 8

1 . What is the coefficient of $ x^{12}y^{12} $ in the expansion of $ {(3x-7y)}^{24} $?

(a)

$21^{12}{{24}\choose{12}}$

(b)

$(3x)^{12}(-7y)^{12}{{24}\choose{12}}$

(c)

$-3^{12}7^{12}{{24}\choose{12}}$

(d)

$(3x)^{12}(7y)^{12}{{24}\choose{12}}$