Practice Module No # 05 (4) - Module No # 05 - Discrete Mathematics - Vol 2
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Module No # 05

Practice - Module No # 05

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a countable set.

💡 Hint: Consider both finite and infinite aspects.

Question 2 Easy

What is the Cartesian product of two sets?

💡 Hint: Think about ordered pairs.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a countable set?

It has a finite size only
It can be put in one-to-one correspondence with positive integers
It contains only rational numbers

💡 Hint: Consider the definition of cardinality.

Question 2

Is the set of rational numbers countable?

True
False

💡 Hint: Think about their listing method.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Demonstrate how to enumerate a new countably infinite set and prove its countability.

💡 Hint: Use simple rules to define the mapping.

Challenge 2 Hard

Explain the implications of the Schröder-Bernstein theorem with an example.

💡 Hint: Consider overlaps and combinations.

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Reference links

Supplementary resources to enhance your learning experience.