Jeeify
MCQMediumJEE Main 2023 · 30 January, Shift 1Simple Applications

Mathematics Question from JEE Main 2023 · 30 January, Shift 1

The coefficient of x301x^{301} in (1+x)500+x(1+x)499+x2(1+x)498+⋯+x500(1 + x)^{500} + x(1 + x)^{499} + x^2(1 + x)^{498} + \dots + x^{500} is:

  • A

    501C302^{501}C_{302}

  • B

    500C301^{500}C_{301}

  • C

    500C300^{500}C_{300}

  • D

    501C200^{501}C_{200}

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Sign in to see the solution

Practice more Simple Applications questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trialMore on Simple Applications

Related questions