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Permutations & Combinations

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Q. How many ways can 4 different fruits be selected from 8 available fruits? (2021)
  • A. 70
  • B. 80
  • C. 90
  • D. 100
Q. How many ways can 4 different fruits be selected from 8?
  • A. 70
  • B. 56
  • C. 80
  • D. 90
Q. How many ways can 4 different letters be chosen from the word 'COMPUTE'? (2022)
  • A. 35
  • B. 70
  • C. 56
  • D. 84
Q. How many ways can 4 letters be chosen from the word 'COMBINATION'?
  • A. 210
  • B. 120
  • C. 150
  • D. 180
Q. How many ways can 4 people be seated in a row of 6 chairs? (2021)
  • A. 360
  • B. 720
  • C. 240
  • D. 480
Q. How many ways can 4 prizes be distributed among 10 students if each student can receive at most one prize? (2019)
  • A. 5040
  • B. 720
  • C. 1000
  • D. 1200
Q. How many ways can 4 students be selected from a group of 12? (2014)
  • A. 495
  • B. 144
  • C. 120
  • D. 220
Q. How many ways can 4 students be selected from a group of 15?
  • A. 1365
  • B. 455
  • C. 105
  • D. 210
Q. How many ways can 5 different books be selected from a shelf of 10?
  • A. 252
  • B. 120
  • C. 300
  • D. 200
Q. How many ways can 5 different cards be chosen from a deck of 52 cards? (2019)
  • A. 2598960
  • B. 100
  • C. 1000
  • D. 500
Q. How many ways can 5 different colored balls be arranged in a line? (2016)
  • A. 120
  • B. 60
  • C. 30
  • D. 24
Q. How many ways can 5 different letters be arranged if 2 letters are always together?
  • A. 48
  • B. 120
  • C. 240
  • D. 720
Q. How many ways can 5 different letters be arranged if 2 letters are identical? (2017)
  • A. 60
  • B. 120
  • C. 30
  • D. 20
Q. How many ways can 5 different letters be arranged if 2 letters must always be together?
  • A. 60
  • B. 120
  • C. 240
  • D. 720
Q. How many ways can 5 people be seated in a row of 5 chairs?
  • A. 120
  • B. 60
  • C. 30
  • D. 24
Q. How many ways can 5 students be seated in a row of 8 chairs? (2016)
  • A. 6720
  • B. 120
  • C. 240
  • D. 360
Q. How many ways can 6 different books be arranged on a shelf? (2017)
  • A. 720
  • B. 600
  • C. 840
  • D. 960
Q. How many ways can 6 different flags be arranged on a pole? (2023)
  • A. 720
  • B. 600
  • C. 480
  • D. 360
Q. How many ways can 6 different letters be arranged if 2 letters are always together?
  • A. 120
  • B. 240
  • C. 720
  • D. 1440
Q. How many ways can 6 people be seated in a row? (2017)
  • A. 720
  • B. 600
  • C. 480
  • D. 360
Q. How many ways can 6 people be selected from a group of 10? (2020)
  • A. 210
  • B. 120
  • C. 300
  • D. 150
Q. How many ways can 7 different books be arranged on a shelf if 3 specific books must be together?
  • A. 720
  • B. 120
  • C. 5040
  • D. 840
Q. How many ways can 8 different books be arranged on a shelf if 3 specific books must be together?
  • A. 720
  • B. 5040
  • C. 40320
  • D. 2880
Q. How many ways can 8 different colored balls be arranged in a line?
  • A. 40320
  • B. 720
  • C. 1000
  • D. 100
Q. How many ways can a committee of 3 be formed from 7 people? (2021)
  • A. 21
  • B. 35
  • C. 15
  • D. 28
Q. How many ways can a committee of 4 be formed from 10 people? (2019)
  • A. 210
  • B. 120
  • C. 100
  • D. 30
Q. How many ways can a committee of 4 be formed from 8 people? (2019)
  • A. 70
  • B. 80
  • C. 90
  • D. 100
Q. In how many ways can 3 different colored balls be arranged in a row? (2015)
  • A. 6
  • B. 3
  • C. 9
  • D. 12
Q. In how many ways can 3 different fruits be selected from a basket of 7 fruits? (2014)
  • A. 35
  • B. 21
  • C. 42
  • D. 28
Q. In how many ways can 3 different letters be chosen from the word 'COMPUTE'? (2019)
  • A. 35
  • B. 56
  • C. 70
  • D. 84
Showing 31 to 60 of 83 (3 Pages)

Permutations & Combinations MCQ & Objective Questions

Understanding Permutations & Combinations is crucial for students preparing for various exams in India. This topic not only enhances your problem-solving skills but also plays a significant role in scoring better in objective questions. Practicing MCQs and important questions related to Permutations & Combinations will help you grasp the concepts effectively and improve your exam preparation.

What You Will Practise Here

  • Fundamental concepts of Permutations and Combinations
  • Key formulas for calculating arrangements and selections
  • Real-life applications of Permutations & Combinations
  • Commonly asked objective questions with detailed explanations
  • Diagrams illustrating different scenarios of arrangements
  • Practice questions to test your understanding
  • Tips and tricks for solving complex problems quickly

Exam Relevance

Permutations & Combinations frequently appear in CBSE, State Boards, NEET, JEE, and other competitive exams. Students can expect questions that require them to calculate arrangements or selections in various contexts. Common question patterns include direct computation of permutations, application-based problems, and multi-step reasoning questions that test conceptual clarity.

Common Mistakes Students Make

  • Confusing between permutations and combinations
  • Misapplying formulas, especially in complex scenarios
  • Overlooking the importance of order in arrangements
  • Neglecting to consider restrictions in selection problems
  • Failing to simplify problems before applying formulas

FAQs

Question: What is the difference between permutations and combinations?
Answer: Permutations refer to arrangements where order matters, while combinations refer to selections where order does not matter.

Question: How can I improve my speed in solving Permutations & Combinations problems?
Answer: Regular practice of MCQs and understanding key concepts will enhance your speed and accuracy in solving these problems.

Question: Are there any specific tips for tackling Permutations & Combinations questions in exams?
Answer: Focus on understanding the problem context, identify whether it requires permutations or combinations, and apply the appropriate formula accordingly.

Now is the time to enhance your skills! Dive into our collection of Permutations & Combinations MCQ questions and practice to test your understanding. Remember, consistent practice is the key to mastering this topic and achieving success in your exams!

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