Practice Cardinality Of A Set (15.5) - Sets - Discrete Mathematics - Vol 1
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Cardinality of a Set

Practice - Cardinality of a Set

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the cardinality of the set E = {x, y, z}?

💡 Hint: Count the elements in the set.

Question 2 Easy

Is the empty set ∅ finite or infinite?

💡 Hint: Remember, it has no elements.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the cardinality of the set G = {a, b, c, d}?

2
4
3

💡 Hint: Count the distinct elements.

Question 2

Is the cardinality of the power set of {m, n} equal to 3?

True
False

💡 Hint: Use the formula 2^n.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a set of prime numbers less than 20, find its cardinality, the power set, and the cardinality of that power set.

💡 Hint: Identify the primes and apply the power set formula.

Challenge 2 Hard

Analyze the set T = {a, b, c, d}. If you take away one element, what will be the new power set and its cardinality?

💡 Hint: Calculate based on the reduced number of elements.

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Reference links

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