Permutation and Combination

Download Q&A

Permutation and Combination MCQ & Objective Questions

Permutation and Combination is a crucial topic in mathematics that plays a significant role in various exams. Mastering this area can greatly enhance your problem-solving skills and boost your confidence. Practicing MCQs and objective questions on Permutation and Combination helps you familiarize yourself with the types of questions asked in exams, ensuring better preparation and higher scores.

What You Will Practise Here

  • Fundamental principles of counting
  • Formulas for permutations and combinations
  • Applications of permutations in real-life scenarios
  • Applications of combinations in probability
  • Common problems involving arrangements and selections
  • Understanding factorial notation and its significance
  • Diagrams and visual aids for better comprehension

Exam Relevance

Permutation and Combination is a vital topic in the syllabus of CBSE, State Boards, NEET, and JEE. It frequently appears in various formats, including direct questions, application-based problems, and conceptual MCQs. Students can expect questions that require them to calculate arrangements, selections, or even solve problems involving probability, making it essential to grasp the underlying concepts thoroughly.

Common Mistakes Students Make

  • Confusing permutations with combinations, especially in word problems.
  • Neglecting the importance of order in arrangements.
  • Misapplying formulas due to misunderstanding factorials.
  • Overlooking restrictions or conditions in selection problems.
  • Failing to simplify problems before applying formulas.

FAQs

Question: What is the difference between permutations and combinations?
Answer: Permutations consider the order of selection, while combinations do not. For example, arranging books on a shelf is a permutation, whereas selecting books to read is a combination.

Question: How can I improve my speed in solving Permutation and Combination problems?
Answer: Regular practice with MCQs and objective questions will help you identify patterns and improve your calculation speed.

Start solving practice MCQs on Permutation and Combination today to test your understanding and enhance your exam readiness. Remember, consistent practice is the key to mastering this topic and achieving your academic goals!

Q. In how many ways can 5 different books be selected and arranged on a shelf if only 3 can be displayed at a time?
  • A. 60
  • B. 120
  • C. 30
  • D. 90
Q. In how many ways can 5 different books be selected and arranged on a shelf if only 3 can be placed?
  • A. 60
  • B. 120
  • C. 30
  • D. 90
Q. In how many ways can 5 different prizes be distributed among 3 students?
  • A. 243
  • B. 125
  • C. 60
  • D. 30
Q. In how many ways can 5 different shirts be arranged in a closet?
  • A. 120
  • B. 60
  • C. 30
  • D. 90
Q. In how many ways can 5 different trophies be awarded to 3 students?
  • A. 60
  • B. 100
  • C. 30
  • D. 20
Q. In how many ways can 6 different books be arranged on a shelf if 2 specific books must be together?
  • A. 120
  • B. 720
  • C. 240
  • D. 60
Q. In how many ways can 6 different books be selected and arranged on a shelf?
  • A. 720
  • B. 600
  • C. 840
  • D. 480
Q. In how many ways can 6 people be seated around a circular table?
  • A. 720
  • B. 120
  • C. 60
  • D. 30
Q. In how many ways can 6 people be seated at a round table?
  • A. 120
  • B. 720
  • C. 60
  • D. 30
Q. In how many ways can 6 people be seated in a round table?
  • A. 720
  • B. 120
  • C. 60
  • D. 30
Q. In how many ways can 7 different books be arranged if 3 specific books must be on the top?
  • A. 720
  • B. 120
  • C. 5040
  • D. 840
Q. In how many ways can 7 different books be arranged on a shelf if 3 specific books must be in the middle?
  • A. 720
  • B. 1440
  • C. 5040
  • D. 840
Q. In how many ways can a committee of 2 be formed from 5 people?
  • A. 10
  • B. 5
  • C. 15
  • D. 20
Q. In how many ways can the letters of the word 'BANANA' be arranged?
  • A. 60
  • B. 30
  • C. 20
  • D. 10
Q. In how many ways can the letters of the word 'MATH' be arranged?
  • A. 24
  • B. 12
  • C. 6
  • D. 4
Showing 61 to 75 of 75 (3 Pages)
Soulshift Feedback ×

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

Not likely Very likely