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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the total number of functions from a set with 2 elements to a set with 3 elements?
💡 Hint: Use the formula n^m.
Question 2
Easy
Define an injective function.
💡 Hint: Think about how elements can pair uniquely.
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 to find the total number of functions from set X to set Y?
- m^n
- n^m
- m+n
💡 Hint: Think about how many options each element has.
Question 2
True or False: An injective function can map distinct elements of X to the same element of Y.
- True
- False
💡 Hint: Consider the nature of injective relationships.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that if there are more elements in set X than set Y (m > n), then the number of injective functions is zero.
💡 Hint: Consider the definition of injective functions.
Question 2
Calculate the Stirling number S(5, 3) and explain the method of your calculation.
💡 Hint: Think of splitting the set into distinct groups.
Challenge and get performance evaluation