Practice - Finding Onto Functions
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Practice Questions
Test your understanding with targeted questions
What is the cardinality of a set with 5 elements?
💡 Hint: Count the number of elements.
State the formula for two sets using the inclusion-exclusion principle.
💡 Hint: Think about overlapping elements.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the inclusion-exclusion principle help us calculate?
💡 Hint: Think about what cardinality means!
True or False: An onto function can have unused elements in its codomain.
💡 Hint: Reflect on the idea of mapping elements.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
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