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

     
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Solution

18C8

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

  Is there an error in this question or solution?
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APPEARS IN

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