The coefficient of x


The coefficient of x8 y10 in the expansion of (x + y)18 is

(a) 18C8

(b) 18p10

(c) 218

(d) none of these


(a) ${ }^{18} C_{8}$

Suppose the $(r+1)$ th term in the given expansion contains $x^{8} y^{10}$.

Then, we have

$T_{r+1}={ }^{18} C_{r} x^{18-r} y^{r}$

For the coefficient of $x^{8} y^{10}$ We have


Hence, the required coefficient is ${ }^{18} C_{10}$ or ${ }^{18} C_{8}$

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