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AP EAMCET2004MathematicsBinomial Theorem

The binomial coefficients which are in decreasing order are

Options

  1. A¹⁵ C₅, ¹⁵ C₆, ¹⁵ C₇
  2. B15 10 , ¹⁵ C₉, ¹⁵ C₈
  3. C¹⁵ C₆, ¹⁵ C₇, ¹⁵ C₈
  4. D¹⁵ C₇, ¹⁵ C₆, ¹⁵ C₅

Correct answer

D. ¹⁵ C₇, ¹⁵ C₆, ¹⁵ C₅

Step-by-step solution

The series of binomial coefficient is ¹⁵ C₀, ¹⁵ C₁, ¹⁵ C₂ ¹⁵ C₇, ¹⁵ C₈, ¹⁵ C₉ . . 15 14 , 15 15 Form the above discussion, we can say that decreasing series is ¹⁵ C₇, ¹⁵ C₆, ¹⁵ C₅ therefore option (4) is correct.

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