Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# The Coefficient of X8 Y10 in the Expansion of (X + Y)18 is (A) 18c8 (B) 18p10 (C) 218 (D) None of These - Mathematics

MCQ

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

#### Options

• 18C8

•  18p10

• 218

•  none of these

#### Solution

18C8

$\text{ Suppose the (r + 1)th term in the given expansion contains } x^8 y^{10} .$
$\text{ Then, we have }$
$T_{r + 1} =^{18}{}{C}_r x^{18 - r} y^r$
$\text{ For the coefficient of } x^8 y^{10} \text{ We have}$
$r = 10$
$\text{ Hence, the required coefficient is }^{18}{}{C}_{10} \text{ or } ^{18}{}{C}_8$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 18 Binomial Theorem
Q 26 | Page 48