All Courses
Get the App Signup / Login
Sign in Open App
Commerce Exam  >  Commerce Tests  >  Mathematics (Maths) Class 11  >  Test: Permutations and Combinations- Case Based Type Questions - Commerce MCQ

Test: Permutations and Combinations- Case Based Type Questions - Commerce MCQ


Test Description

10 Questions MCQ Test Mathematics (Maths) Class 11 - Test: Permutations and Combinations- Case Based Type Questions

Test: Permutations and Combinations- Case Based Type Questions for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation. The Test: Permutations and Combinations- Case Based Type Questions questions and answers have been prepared according to the Commerce exam syllabus.The Test: Permutations and Combinations- Case Based Type Questions MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Permutations and Combinations- Case Based Type Questions below.
Solutions of Test: Permutations and Combinations- Case Based Type Questions questions in English are available as part of our Mathematics (Maths) Class 11 for Commerce & Test: Permutations and Combinations- Case Based Type Questions solutions in Hindi for Mathematics (Maths) Class 11 course. Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free. Attempt Test: Permutations and Combinations- Case Based Type Questions | 10 questions in 20 minutes | Mock test for Commerce preparation | Free important questions MCQ to study Mathematics (Maths) Class 11 for Commerce Exam | Download free PDF with solutions
Test: Permutations and Combinations- Case Based Type Questions - Question 1
Save

There are 12 points in a plane of which 5 are collinear.

Q. How many straight lines can be drawn using all the points?

Detailed Solution for Test: Permutations and Combinations- Case Based Type Questions - Question 1
Number of straight lines

= 12C2 – 5C2 + 1

= 66 – 10 + 1 = 57

Test: Permutations and Combinations- Case Based Type Questions - Question 2
Save

There are 12 points in a plane of which 5 are collinear.

Q. How many chords can be drawn using seven points on the circumference of a circle?

Detailed Solution for Test: Permutations and Combinations- Case Based Type Questions - Question 2

Number of chords = 7C2 = 21

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Permutations and Combinations- Case Based Type Questions - Question 3
Save

There are 12 points in a plane of which 5 are collinear.

Q. How many straight lines can be formed using the collinear points?

Detailed Solution for Test: Permutations and Combinations- Case Based Type Questions - Question 3
We can draw only one straight line through the 5 collinear points.
Test: Permutations and Combinations- Case Based Type Questions - Question 4
Save

There are 12 points in a plane of which 5 are collinear.

Q. How many quadrilaterals can be formed using these points?
Detailed Solution for Test: Permutations and Combinations- Case Based Type Questions - Question 4
Number of quadrilaterals = 12C4 – [5C4 + 5C3 × 7C1]

= 495 – (5 + 70) = 420

Test: Permutations and Combinations- Case Based Type Questions - Question 5
Save

There are 12 points in a plane of which 5 are collinear.

Q. How many triangles can be formed using these points?
Detailed Solution for Test: Permutations and Combinations- Case Based Type Questions - Question 5
Number of triangles = 12C3 – 5C3 = 220 – 10 = 210
Test: Permutations and Combinations- Case Based Type Questions - Question 6
Save

Thejasree is playing with scramble word cubes. She needs to form a word using all the letters of the word ‘ORGANIC’ without repetition of the letters.

Q. How many words begin and end with consonants?
Detailed Solution for Test: Permutations and Combinations- Case Based Type Questions - Question 6

Required number of words = 4 × 5! × 3 = 1440

Test: Permutations and Combinations- Case Based Type Questions - Question 7
Save

Thejasree is playing with scramble word cubes. She needs to form a word using all the letters of the word ‘ORGANIC’ without repetition of the letters.

Q. In how many words vowels and consonants alternate between each other?
Detailed Solution for Test: Permutations and Combinations- Case Based Type Questions - Question 7
C V V C V C Number of words = 4! × 3! = 24 × 6 = 144
Test: Permutations and Combinations- Case Based Type Questions - Question 8
Save

Thejasree is playing with scramble word cubes. She needs to form a word using all the letters of the word ‘ORGANIC’ without repetition of the letters.

Q. In how many words the all vowels are together?
Detailed Solution for Test: Permutations and Combinations- Case Based Type Questions - Question 8

Vowels - OAI
OAI, R, G, N, C - 5 Places, Ways to arrange = 5!
OAI, Ways to arrange = 3!
Number of words beginning with vowel = 5! × 3!

= 120 × 6 = 720

Test: Permutations and Combinations- Case Based Type Questions - Question 9
Save

Thejasree is playing with scramble word cubes. She needs to form a word using all the letters of the word ‘ORGANIC’ without repetition of the letters.

Q. How many words begin with a vowel?
Detailed Solution for Test: Permutations and Combinations- Case Based Type Questions - Question 9
Number of words beginning with vowel = 3 × 6!

= 3 × 720 = 2160

Test: Permutations and Combinations- Case Based Type Questions - Question 10
Save

Thejasree is playing with scramble word cubes. She needs to form a word using all the letters of the word ‘ORGANIC’ without repetition of the letters.

Q. How many words begin with O?
Detailed Solution for Test: Permutations and Combinations- Case Based Type Questions - Question 10
ORGANIC is a seven letter word.

O _ _ _ _ _ _

Number of words beginning with O = 6! = 720

75 videos|238 docs|91 tests
Join Course
Information about Test: Permutations and Combinations- Case Based Type Questions Page
In this test you can find the Exam questions for Test: Permutations and Combinations- Case Based Type Questions solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Permutations and Combinations- Case Based Type Questions, EduRev gives you an ample number of Online tests for practice

Top Courses for Commerce

75 videos|238 docs|91 tests
Join Course
Download as PDF

Top Courses for Commerce

Important Questions for Permutations and Combinations- Case Based Type Questions

Find all the important questions for Permutations and Combinations- Case Based Type Questions at EduRev.Get fully prepared for Permutations and Combinations- Case Based Type Questions with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Permutations and Combinations- Case Based Type Questions syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Permutations and Combinations- Case Based Type Questions resources.

Permutations and Combinations- Case Based Type Questions MCQs with Answers

Prepare for the Permutations and Combinations- Case Based Type Questions within the Commerce exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Permutations and Combinations- Case Based Type Questions Mathematics (Maths) Class 11

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Permutations and Combinations- Case Based Type Questions with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup