Practice Permutations Where Repetitions Are Allowed - 11.4 | 11. Permutation and Combination | Discrete Mathematics - Vol 2
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11.4 - Permutations Where Repetitions Are Allowed

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for permutations with repetitions allowed?

💡 Hint: Remember that n stands for the number of distinct items.

Question 2

Easy

How many permutations can be formed by selecting 2 letters from {A, B} with repetition?

💡 Hint: Think about how many choices you have at each position.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

When repetitions are allowed, what is the number of permutations for arranging 3 items chosen from 4 distinct items?

  • 4
  • 12
  • 64

💡 Hint: Think about how many options each position has.

Question 2

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

  • True
  • False

💡 Hint: Remember, combinations are about selecting groups.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

If a student can choose any number of fruits from 5 available types, how many combinations of 3 fruits can be made if repetitions are allowed?

💡 Hint: Think about how you can represent this as choosing fruits where order does not matter.

Question 2

Imagine you're coding a simple game character. If you can select 3 powers from 6 distinct powers, but can select the same power multiple times, what would be the total power combinations?

💡 Hint: Consider how many powers can occupy each slot!

Challenge and get performance evaluation