Permutations And Combinations Question 72

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

Options:

A) 32

B) 64

C) 76

D) 104

Show Answer

Answer:

Correct Answer: D

Solution:

  • The required number of points $ {{=}^{8}}C_2\times 1{{+}^{4}}C_2\times 2+( ^{8}C_1{{\times }^{4}}C_1 )\times 2 $ $ =28+12+32\times 2=104 $