Practice Unordered Selection Of K Elements (11.6) - Permutation and Combination
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Unordered Selection of k Elements

Practice - Unordered Selection of k Elements

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

How many ways can you choose 2 fruits from a basket of 4 different fruits?

💡 Hint: Use the formula C(n, k) = n! / (k!(n - k)!)

Question 2 Easy

What is C(5, 0)?

💡 Hint: Think about picking no items at all.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for combinations?

A) C(n
k) = n! / (k!(n - k)!)
B) P(n
k) = n! / (k!(n - k)!)
C) C(n
k) = k! / (n!(n - k)!)

💡 Hint: Recall how we derive the number of ways to select.

Question 2

True or False: The order of selection matters in combinations.

True
False

💡 Hint: Think about how you list selections to compare.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using a set of letters A, B, C, D, E, how many ways can you select 3 letters if repetitions are not allowed?

💡 Hint: Remember the formula for choosing without replacement!

Challenge 2 Hard

In a flower shop with 6 types of flowers, how many distinct bouquets of 4 can be created allowing repetitions?

💡 Hint: Think how grouping flowers allows flexibility in counts.

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