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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the permutation of 4 objects taken 2 at a time?
💡 Hint: Use the formula P(n, r) = n! / (n - r)!
Question 2
Easy
How many ways can you choose 3 out of 5 fruits?
💡 Hint: Use the formula C(n, r) = n! / (r!(n - r)!)
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
What is the formula for finding permutations?
- P(n
- r) = n! / (n - r)!
- C(n
- r) = n! / (r!(n - r)!)
- Both are correct.
💡 Hint: Consider how order affects the arrangements.
Question 2
In combinations, does order matter?
- True
- False
💡 Hint: Think about selecting a group of items.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If a sports team has 12 players and 5 can be selected to form a different lineup, how many different lineups can be created? Consider both order and team selections.
💡 Hint: Focus on how to arrange those players, and remember order is important!
Question 2
How many ways can 10 different books be chosen to have a 3-book series mixture, allowing some to be repeated in combinations?
💡 Hint: Remember to think of how the repetition changes the selection criteria!
Challenge and get performance evaluation