Practice - Question 8: Functions from Set X to Set Y
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Practice Questions
Test your understanding with targeted questions
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.
Define an injective function.
💡 Hint: Think about how elements can pair uniquely.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula to find the total number of functions from set X to set Y?
💡 Hint: Think about how many options each element has.
True or False: An injective function can map distinct elements of X to the same element of Y.
💡 Hint: Consider the nature of injective relationships.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
Calculate the Stirling number S(5, 3) and explain the method of your calculation.
💡 Hint: Think of splitting the set into distinct groups.
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