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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the cardinality of a set with 5 elements?
💡 Hint: Count the number of elements.
Question 2
Easy
State the formula for two sets using the inclusion-exclusion principle.
💡 Hint: Think about overlapping elements.
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 does the inclusion-exclusion principle help us calculate?
- Cardinality of individual sets
- Cardinality of the union of sets
- Cardinality of intersections
💡 Hint: Think about what cardinality means!
Question 2
True or False: An onto function can have unused elements in its codomain.
- True
- False
💡 Hint: Reflect on the idea of mapping elements.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
How many onto functions exist from a set with 8 elements into a set with 4 elements? Use the inclusion-exclusion principle.
💡 Hint: Start by calculating the function counts and then break down the exclusion cases.
Question 2
Design a problem set that requires students to find the number of ways to assign 10 different tasks to 5 workers so that each worker has at least one task.
💡 Hint: Consider the total assignments and the necessary exclusions for empty assignments.
Challenge and get performance evaluation