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Permutation & Combination

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Q. In how many ways can 4 books be arranged on a shelf if 2 specific books must be together?
  • A. 12
  • B. 24
  • C. 48
  • D. 36
Q. In how many ways can 4 different books be arranged on a shelf?
  • A. 16
  • B. 24
  • C. 64
  • D. 12
Q. In how many ways can 4 different fruits be selected from a basket of 10 fruits?
  • A. 210
  • B. 120
  • C. 240
  • D. 300
Q. In how many ways can 4 different gifts be distributed among 3 children if each child can receive any number of gifts?
  • A. 81
  • B. 64
  • C. 27
  • D. 12
Q. In how many ways can 4 different gifts be distributed among 3 children?
  • A. 81
  • B. 64
  • C. 27
  • D. 12
Q. In how many ways can the letters of the word 'SCHOOL' be arranged?
  • A. 720
  • B. 360
  • C. 480
  • D. 600
Showing 31 to 36 of 36 (2 Pages)

Permutation & Combination MCQ & Objective Questions

Permutation and Combination are fundamental concepts in mathematics that play a crucial role in various competitive exams and school assessments. Mastering these topics can significantly enhance your problem-solving skills and boost your confidence in tackling objective questions. By practicing MCQs and important questions, you can improve your exam preparation and increase your chances of scoring better.

What You Will Practise Here

  • Understanding the basic definitions of Permutation and Combination.
  • Key formulas for calculating permutations and combinations.
  • Real-life applications of Permutation and Combination concepts.
  • Solving complex problems using the fundamental counting principle.
  • Identifying and applying different types of combinations in various scenarios.
  • Practice questions that cover a range of difficulty levels.
  • Diagrams and visual aids to clarify concepts and enhance understanding.

Exam Relevance

Permutation and Combination are essential topics in the curriculum for CBSE, State Boards, NEET, and JEE. These concepts frequently appear in various formats, including direct questions, application-based problems, and theoretical explanations. Students can expect to encounter questions that require them to calculate arrangements, selections, and combinations in both objective and subjective formats. Familiarity with these patterns will help you tackle the exam with greater ease.

Common Mistakes Students Make

  • Confusing between permutations and combinations, especially in word problems.
  • Neglecting to consider the order of selection when solving permutation problems.
  • Overlooking the importance of factorial notation in calculations.
  • Misapplying formulas due to misunderstanding the problem context.
  • Failing to simplify answers correctly, leading to avoidable mistakes.

FAQs

Question: What is the difference between Permutation and Combination?
Answer: Permutation refers to the arrangement of items where order matters, while Combination refers to the selection of items where order does not matter.

Question: How can I improve my skills in Permutation and Combination?
Answer: Regular practice of MCQs and objective questions, along with understanding the underlying concepts, will enhance your skills significantly.

Start solving practice MCQs on Permutation and Combination today to solidify your understanding and prepare effectively for your exams. The more you practice, the better you will perform!

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