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If H is the Harmonic Mean of three numbers ¹⁰ C ₄, ¹⁰ C ₅ , and ¹⁰ C ₆ , then what is the value of 270 H ?

Options

  1. A1
  2. B14 17
  3. C17 14
  4. D1 31

Correct answer

C. 17 14

Step-by-step solution

Since, Harmonic Mean (H) H = 3 1 ¹⁰ C ₄ + 1 ¹⁰ C ₅ + 1 ¹⁰ C ₆ H= 3 1 210 + 1 252 + 1 210 = 3 105 252 357 Hence, 270 H = 17 14

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