4 lines and 5 circle are lie in a plane. Then all maximum no of points of intersection in this plane is -

Options

A. 60
B. 72
C. 62
D. None of these

Answer

4

Explanation

Two circles intersect at two distinct point. Two straight line intersect at two distinct points. One circle and one straight line intersect at two distinct points. Then the total numbers of points of intersections are as follows.
`{:("Number of ways selection", "Point of intersection"),("Two straight line :" .^(5)C_(2), .^(5)C_(2)xx 1 = 10),("Two cicles":.^(4)C_(2), .^(4)C_(2) xx 2=12),("One line and one circle": .^(5)C_(1) xx.^(4)C_(1), .^(5)C_(1)xx .^(4)C_(1) xx 2 = 40),("Total", 62):}`