Q. The greatest possible number of points of intersection of 8 straight lines and 4 circle is
A) 32
B) 64
C) 76
D) 104
Explanation
(d)
The required number of points
$= \ ^{8}C_{2} \times 1 + \ ^{4}C_{2} \times 2 + \left( \ ^{8}C_{1} \times \ ^{4}C_{1} \right) \times 2$
$= 28 + 12 + 32 \times 2 = 104$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.