MCQMediumJEE Main 2024 · 8 April, Shift 2Simple Applications

Mathematics Question from JEE Main 2024 · 8 April, Shift 2

The coefficient of x70x^{70} in:

x2(1+x)98+x3(1+x)97+...+x54(1+x)46x^2(1 + x)^{98} + x^3(1 + x)^{97} + ... + x^{54}(1 + x)^{46}

is (99Cp)(46Cq)(99C_p) - (46C_q). A possible value of p+qp + q is:

  • A

    5555

  • B

    6161

  • C

    6868

  • D

    8383

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