Practice Permutations Where Repetitions Are Allowed (11.4) - Permutation and Combination
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Permutations Where Repetitions Are Allowed

Practice - Permutations Where Repetitions Are Allowed

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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!

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