Practice Part (c): Stirling Function Of Type 2 (2.4.4) - Introduction - Discrete Mathematics - Vol 2
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Part (c): Stirling Function of Type 2

Practice - Part (c): Stirling Function of Type 2

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define the Stirling function of type 2.

💡 Hint: What does the S in S(r, s) represent?

Question 2 Easy

What is a surjective function?

💡 Hint: Think about input-output relationships in functions.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does S(3, 2) represent?

Ways to divide 3 elements into 2 subsets
Ways to arrange 3 elements
Ways to assign values

💡 Hint: Focus on what the Stirling function describes.

Question 2

Is every surjective function a bijection?

True
False

💡 Hint: Think of the definitions of surjective and bijective relationships.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

What would S(10, 5) illustrate in the context of a classroom with 10 students needing to form 5 groups?

💡 Hint: Use Stirling number properties to derive the answer.

Challenge 2 Hard

Given S(6, 2), how would you compute the number of surjective functions from a 6-element set X to a 2-element set Y?

💡 Hint: Think about how multiple arrangements affect mappings.

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