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

BETA

sathee@iitk.ac.in

Media coverage of SATHEE

Play Store

App Store

The Ministry of Education has launched the SATHEE initiative in association with IIT Kanpur to provide free guidance for competitive exams. SATHEE offers a range of resources, including reference video lectures, mock tests, and other resources to support your preparation. Please note that participation in the SATHEE program does not guarantee clearing any exam or admission to any institute.

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Permutations And Combinations Question 181

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

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Mentorship

Menu