Aspire Faculty ID #15284 · Topic: JAMIA MCA 2016 · Just now
JAMIA MCA 2016

The coefficient of $x^8 y^{10}$ in $(x + y)^{18}$ is …

Solution

General term = ${}^{18}C_r x^{18-r} y^r$. We need $x^8 y^{10} \Rightarrow 18 - r = 8 \Rightarrow r = 10$. Coefficient = ${}^{18}C_{10}$.

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