Practice Cardinality of a Set - 15.5 | 15. Sets | Discrete Mathematics - Vol 1
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15.5 - Cardinality of a Set

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation