?
Categories
Account

Permutations & Combinations

Download Q&A
Q. From a deck of 52 cards, how many ways can you choose 5 cards?
  • A. 2598960
  • B. 1001
  • C. 3125
  • D. 1024
Q. From a group of 8 people, how many ways can a team of 3 be selected? (2022)
  • A. 56
  • B. 24
  • C. 36
  • D. 48
Q. How many different ways can 4 students be selected from a class of 10?
  • A. 210
  • B. 120
  • C. 240
  • D. 300
Q. How many ways can 10 different items be selected from a group of 15? (2023)
  • A. 3003
  • B. 5005
  • C. 1001
  • D. 2002
Q. How many ways can 2 boys and 2 girls be selected from a group of 5 boys and 5 girls? (2023)
  • A. 100
  • B. 120
  • C. 80
  • D. 60
Q. How many ways can 2 boys and 3 girls be selected from 6 boys and 4 girls? (2023)
  • A. 60
  • B. 80
  • C. 100
  • D. 120
Q. How many ways can 2 boys and 3 girls be selected from a group of 6 boys and 4 girls? (2023)
  • A. 60
  • B. 80
  • C. 100
  • D. 120
Q. How many ways can 2 boys and 3 girls be selected from a group of 6 boys and 8 girls? (2020)
  • A. 280
  • B. 300
  • C. 240
  • D. 360
Q. How many ways can 2 men and 3 women be selected from a group of 5 men and 6 women? (2020)
  • A. 100
  • B. 60
  • C. 120
  • D. 80
Q. How many ways can 3 red, 2 blue, and 1 green ball be arranged in a line?
  • A. 120
  • B. 60
  • C. 30
  • D. 10
Q. How many ways can 4 men and 3 women be arranged in a line if the men must be together? (2019)
  • A. 5040
  • B. 720
  • C. 840
  • D. 1200
Q. How many ways can 4 students be selected from a class of 10? (2020)
  • A. 210
  • B. 120
  • C. 240
  • D. 300
Q. How many ways can 5 different flags be arranged on a pole? (2019)
  • A. 60
  • B. 120
  • C. 100
  • D. 24
Q. How many ways can 6 people be seated around a circular table?
  • A. 720
  • B. 120
  • C. 60
  • D. 30
Q. How many ways can 6 people be seated at a round table? (2020)
  • A. 720
  • B. 120
  • C. 600
  • D. 480
Q. How many ways can you select 2 fruits from a basket containing 5 different fruits?
  • A. 10
  • B. 15
  • C. 20
  • D. 5
Showing 1 to 16 of 16 (1 Pages)

Permutations & Combinations MCQ & Objective Questions

Understanding "Permutations & Combinations" is crucial for students preparing for various exams. This topic not only enhances problem-solving skills but also plays a significant role in scoring well in objective questions. Practicing MCQs and important questions related to this topic can greatly improve your exam preparation and boost your confidence.

What You Will Practise Here

  • Fundamental principles of counting
  • Permutations: definitions and formulas
  • Combinations: key concepts and applications
  • Real-life applications of permutations and combinations
  • Common problems involving arrangements and selections
  • Diagrams and visual aids for better understanding
  • Practice questions with detailed explanations

Exam Relevance

The topic of "Permutations & Combinations" is frequently tested in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that require them to calculate arrangements and selections in various scenarios. Common patterns include direct application of formulas, word problems, and multi-step reasoning questions, making it essential to master this topic for effective exam performance.

Common Mistakes Students Make

  • Confusing permutations with combinations
  • Overlooking the importance of order in arrangements
  • Misapplying formulas in complex problems
  • Ignoring constraints in selection problems
  • Failing to practice enough varied problems

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 skills in this topic?
Answer: Regular practice of MCQs and solving important questions will enhance your understanding and speed in tackling problems related to permutations and combinations.

Start your journey towards mastering "Permutations & Combinations" today! Solve practice MCQs and test your understanding to excel in your exams.

Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks