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Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremSpecific TermsMedium2 minQB

MathematicsMediumsingle choice

Coefficient of $x^{2009}$ in $(1 + x + x^{2} + x^{3} + x^{4})^{1001} (1 - x)^{1002}$ is

Options:

Answer:

Solution:

The expression simplifies to $(1 - x^{5})^{1001} (1 - x)$ . so all the powers of $x$ will be of the 5m or 5m+1 (m is integral) So coff. of $x^{2009}$ and $x^{2008}$ will be 0

Final Answer: The final answer is $0$

Stream:JEESubject:MathematicsTopic:Binomial TheoremSubtopic:Specific Terms

⏱ 2mℹ️ Source: QB

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