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NDA2024MathematicsBinomial TheoremActual

In the expansion of (1+x)^p(1+x)^q , if the coefficient of x^3 is 35 , then what is the value of (p+q) ?

Options

  1. A5
  2. B6
  3. C7
  4. D8

Correct answer

C. 7

Step-by-step solution

Here, (1+ x )^ p (1+ x )^ q =(1+ x )^ p + q Given, Coeff. of x^3 in the expansion of (1+x)^ p+q =35 aligned & (p+q) C₃=35= ^7 C₃ & p+q=7 aligned (on comparison)

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