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Question: 2015 Fall Final - 4

Author: Michiel Smid
What is the coefficient of $x^{15}y^{5}$ in the expansion of $(-3x + 5y)^{20}$?
(a)
$- {20 \choose 5} \cdot 5^{15} \cdot 3^5$
(b)
${20 \choose 5} \cdot 3^{15} \cdot 5^5$
(c)
${20 \choose 5} \cdot 5^{15} \cdot 3^5$
(d)
$- {20 \choose 5} \cdot 3^{15} \cdot 5^5$