AllRounder.ai
Chapters in this course

Enrol to start learning

Reading is open to everyone. Enrolling is free, and it is what unlocks the audio lessons, practice tests and progress tracking.

Enrol free

11. Permutation and Combination

  • This section

    Practice test

    12 questions on this section. Wrong answers show you what to read again.

    Sign up to take it
  • Whole chapter

    Revision test

    Mixed questions from across the chapter. Your answers get marked.

    Sign up to take it
  • Quick

    Flashcard drill

    4 cards from this lesson. Good the night before a test.

Try these first

  1. 1.

    How many ways can you arrange 3 books from a shelf of 5 books?

    Hint

    Think of using the permutation formula.

  2. 2.

    How many ways can you choose 2 toppings from 5 available pizza toppings?

    Hint

    This requires the combination formula.

  3. 3.

    How many permutations are possible for arranging 4 people?

    • 12
    • 24
    • 36
    Hint

    Remember the factorial concept.

  4. 4.

    True or False: In combinations, the order of selection matters.

    • True
    • False
    Hint

    Recall what combinations actually involve.

  5. 5.

    You have 5 different colored crayons. How many ways can you choose 3 colors if repetitions are allowed?

    Hint

    Visualize dividing selected items with dividers.

  6. 6.

    If a sports team has 12 members and you need to arrange them in different roles, how many arrangements are possible if you need to assign 4 distinct roles?

    Hint

    Remember the formula for permutations.

Exercises

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

4 more questions available

Enrol free

Quiz

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

2 more questions available

Enrol free

Challenge Problems

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting