Find the coefficient of the term $x ^ { 6 } y ^ { 8 }$ in the expansion of the binomial $( x - y ) ^ { 14 }$ .
A) $3,003$
B) $2,997$
C) $- 2,979$
D) $- 2,985$
E) $- 2,973$

Name: Find the coefficient of the term $x ^ { 6 } y ^ { 8 }$ in the expansion of the binomial $( x - y ) ^ { 14 }$ . A) $3,003$ B) $2,997$ C) $- 2,979$ D) $- 2,985$ E) $- 2,973$
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Question

Quizplus · Accepted Answer

The coefficient of the term $x ^ { 6 } y ^ { 8 }$ in the expansion of the binomial $( x - y ) ^ { 14 }$ is $\binom{14}{6} = 3,003$.

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Find the Coefficient of the Term $x ^ { 6 } y ^ { 8 }$