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Permutations & Combinations

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Q. How many different 4-digit PINs can be formed using the digits 0-9 if digits cannot be repeated?
  • A. 5040
  • B. 10000
  • C. 9000
  • D. 7200
Q. How many different 4-digit PINs can be formed using the digits 0-9 if repetition is allowed? (2020)
  • A. 10000
  • B. 1000
  • C. 100
  • D. 1000
Q. How many different 4-digit PINs can be formed using the digits 0-9 without repetition?
  • A. 5040
  • B. 9000
  • C. 10000
  • D. 1000
Q. How many different ways can 2 out of 5 different fruits be chosen?
  • A. 10
  • B. 15
  • C. 20
  • D. 25
Q. How many different ways can 3 boys and 2 girls be seated in a row?
  • A. 30
  • B. 60
  • C. 120
  • D. 180
Q. How many different ways can 4 different colored balls be arranged in a row? (2020)
  • A. 12
  • B. 24
  • C. 36
  • D. 48
Q. How many different ways can 4 prizes be distributed among 10 students? (2020)
  • A. 5040
  • B. 10000
  • C. 2100
  • D. 120
Q. How many different ways can 6 people be seated in a row? (2020)
  • A. 720
  • B. 600
  • C. 360
  • D. 480
Q. How many different ways can the letters of the word 'BOOK' be arranged? (2014)
  • A. 12
  • B. 24
  • C. 36
  • D. 48
Q. How many different ways can the letters of the word 'MATH' be arranged?
  • A. 12
  • B. 24
  • C. 36
  • D. 48
Q. How many ways can 2 boys and 2 girls be selected from 5 boys and 5 girls? (2020)
  • A. 100
  • B. 150
  • C. 200
  • D. 300
Q. How many ways can 2 boys and 3 girls be selected from 5 boys and 6 girls?
  • A. 100
  • B. 150
  • C. 200
  • D. 250
Q. How many ways can 2 boys and 3 girls be selected from 5 boys and 7 girls? (2020)
  • A. 210
  • B. 300
  • C. 350
  • D. 400
Q. How many ways can 2 boys and 3 girls be selected from 8 boys and 6 girls?
  • A. 336
  • B. 280
  • C. 420
  • D. 180
Q. How many ways can 2 boys and 3 girls be selected from a group of 5 boys and 7 girls? (2018)
  • A. 210
  • B. 300
  • C. 150
  • D. 100
Q. How many ways can 2 out of 5 students be selected?
  • A. 10
  • B. 15
  • C. 20
  • D. 5
Q. How many ways can 2 students be selected from a group of 5? (2019)
  • A. 10
  • B. 5
  • C. 15
  • D. 20
Q. How many ways can 2 students be selected from a group of 8? (2015)
  • A. 28
  • B. 56
  • C. 36
  • D. 48
Q. How many ways can 3 books be selected from a shelf of 10 books? (2022)
  • A. 120
  • B. 210
  • C. 100
  • D. 30
Q. How many ways can 3 boys and 2 girls be seated in a row?
  • A. 30
  • B. 60
  • C. 120
  • D. 180
Q. How many ways can 3 different books be chosen from a set of 7?
  • A. 35
  • B. 42
  • C. 49
  • D. 56
Q. How many ways can 3 different colored balls be arranged in a row? (2022)
  • A. 6
  • B. 3
  • C. 9
  • D. 12
Q. How many ways can 3 different gifts be given to 5 children if each child can receive more than one gift? (2022)
  • A. 125
  • B. 243
  • C. 60
  • D. 30
Q. How many ways can 3 different trophies be awarded to 5 students? (2022)
  • A. 60
  • B. 100
  • C. 120
  • D. 30
Q. How many ways can 3 out of 8 different colored balls be chosen? (2022)
  • A. 56
  • B. 24
  • C. 8
  • D. 12
Q. How many ways can 3 prizes be awarded to 10 students if no student can win more than one prize?
  • A. 720
  • B. 1000
  • C. 1200
  • D. 100
Q. How many ways can 3 red balls and 2 blue balls be arranged in a line? (2016)
  • A. 10
  • B. 30
  • C. 60
  • D. 20
Q. How many ways can 3 students be selected from a group of 10?
  • A. 120
  • B. 90
  • C. 100
  • D. 80
Q. How many ways can 4 different flags be arranged on a pole? (2021)
  • A. 24
  • B. 12
  • C. 16
  • D. 20
Q. How many ways can 4 different fruits be selected from 6 available fruits? (2021)
  • A. 15
  • B. 30
  • C. 20
  • D. 25
Showing 1 to 30 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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