SATHEE: Permutations And Combinations Question 181

Permutations And Combinations Question 181

Question: The maximum number of points of intersection of five lines and four circles is

Options:

A) 60

B) 72

C) 62

D) none of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Two circles intersect at two distinct points. Two straight lines intersect at one point. 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 of selection Points of intersection Two straight lines: $ ^{5}C_2 $ $ ^{5}C_2\times 1=10 $ Two circles: $ ^{4}C_2 $ $ ^{4}C_2\times 2=12 $ One line and circle: $ ^{5}C_1{{\times }^{4}}C_1 $ $ ^{5}C_1{{\times }^{4}}C_1\times 2=40 $ Total 62

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Permutations And Combinations Question 181

Question: The maximum number of points of intersection of five lines and four circles is

Options:

Answer:

Solution:

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