Practice Set S Definition (9.4.1) - Tutorial 5 - Discrete Mathematics - Vol 2
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Set S Definition

Practice - Set S Definition

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define the term 'cardinality'.

💡 Hint: Think about how you count objects in a box.

Question 2 Easy

What is an injective mapping?

💡 Hint: Remember, no two inputs should overlap in their outputs.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the term 'cardinality' refer to?

Size of a set
A type of set
An equation

💡 Hint: Consider the number of items in a collection.

Question 2

If two sets have injective mappings between them, what can we conclude?

True
False

💡 Hint: Think about the relationships defined by these mappings.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a set of rational numbers between 0 and 1 and prove its cardinality.

💡 Hint: Think about how to list all possible fractions fitting that description.

Challenge 2 Hard

Prove the intersection of two uncountable sets can be empty.

💡 Hint: Visualize how different sets can share no values.

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