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NDA2020MathematicsPermutation and CombinationActual

What is the maximum number of points of intersection of 5 non-overlapping circles?

Options

  1. A10
  2. B15
  3. C20
  4. D25

Correct answer

C. 20

Step-by-step solution

Maximum number of points of intersection of 2 nonoverlapping circles =2 . So, maximum number of points of intersection of 5 nonoverlapping circles =8+6+4+2=20 .

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