Find the coefficient of the given term in the binomial expansion.
-$x ^ { 7 } y ^ { 3 }$ term, $( x + y ) ^ { 10 }$
A) 604,800
B) 86,400
C) 120
D) 7

Question

Quizplus · Accepted Answer

The coefficient of $x^7 y^3$ in the expansion of $(x + y)^{10}$ is given by the binomial coefficient $\binom{10}{7}$, which is equal to $\binom{10}{3}$ due to symmetry. $\binom{10}{3} = \frac{10 \times 9 \times 8}{3 \times 2 \times 1} = 120$.

Find the Coefficient of the Given Term in the Binomial x7y3x ^ { 7 } y ^ { 3 }x7y3

Find the Coefficient of the Given Term in the Binomial $x ^ { 7 } y ^ { 3 }$