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The coefficient of x4 is the expansion of 1 x x210 is | (Mathematics) | DivineJEE

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Mathematics

Exam

Mathematics

The coefficient of x⁴ is the expansion of (1 + x + x²)¹⁰ is _____.

Explanation

(1 + x + x²)¹⁰

= ¹⁰C₀(1 + x)¹⁰ + ¹⁰C₁(1 + x)⁹.x² + ¹⁰C₂(1 + x)⁸.x⁴+ .....

Coefficient of x⁴

= ¹⁰C₀.¹⁰C₄ + ¹⁰C₁.⁹C₂ + ¹⁰C₂.⁸C₀

= 210 + 360 + 45

= 615

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