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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2023 · Mathematics · Permutation and Combination

What is the maximum number of points of intersection of 10 circles?

What is the maximum number of points of intersection of 10 circles?

Options

  1. A45
  2. B60
  3. C90
  4. D120

Correct answer

C. 90

Step-by-step solution

since, maximum number of points of intersection of 10 circle =10C2×2=10×92×2=90={ }^{10} \mathrm{C}_2 \times 2=\frac{10 \times 9}{2} \times 2=90
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