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AP EAMCET20225 Jul 2022Morning ShiftMathematicsBinomial TheoremActual

If 10 ^n C₂=3^ n+1 C₃ , then the value of n is

Options

  1. A3
  2. B10
  3. C7
  4. D9

Correct answer

D. 9

Step-by-step solution

10^n C₂=3^ n+1 C₃ 10 n ! (n-2) ! 2 ! = 3(n+1) ! (n+1-3) ! 3 ! aligned & & 10 n ! 2 & = 3(n+1) n ! 3 2 & & 10 & =n+1 & & n & =9 aligned

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