Question

The greatest possible number of points of intersection of 8 straight lines and 4 circles is

• A. 32
• B. 64
• C. 76
• D. 104

Answer 1

Answer: (D)

104

Answer 2

The required number of points

= ⁸C₂ x 1 + ⁴C₂ x 2 + (⁸C₁ x ⁴C₁) x 2

= 28 + 12 + 32 x 2 = 104.