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MHT CET202310 May 2023Evening ShiftMathematicsBinomial TheoremActual

The value of ¹⁰ C _ r ¹¹ C _ r , when both the numerator and denominator are at their greatest values, is

Options

  1. A6 11
  2. B1 11
  3. C4 11
  4. D3 11

Correct answer

A. 6 11

Step-by-step solution

Greatest value of ⁻¹⁰ C _ r is at r =5 Greatest value of ¹¹ C _ r is at r =5 ¹⁰ C _ r ¹¹ C _ r = ¹⁰ C ₅ ¹¹ C ₅ = 10 ! 5 ! 5 ! 11 ! 5 ! 6 ! = 6 11

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