Practice Listing valid programs - 5.2.4 | 5. Countability of the set of all strings over a finite alphabet | Discrete Mathematics - Vol 2
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a finite alphabet? Provide an example.

💡 Hint: Think of a simple set of characters.

Question 2

Easy

Define Π* in your own words.

💡 Hint: Link it with the concept of string formation.

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 does Π* represent?

  • Set of all programming languages
  • Set of all possible strings from an alphabet
  • Set of valid programs

💡 Hint: Remember the definitions regarding finite sets.

Question 2

True or False: The set of valid programs is uncountable.

  • True
  • False

💡 Hint: Reflect on the properties of subsets in mathematics.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a finite alphabet {x, y}, list all possible strings of length 3 and state how many such strings exist.

💡 Hint: Consider combinations of each character arranged in different orders.

Question 2

Create a valid program using a finite alphabet composed of basic arithmetic operations and variables. Explain why your program is valid.

💡 Hint: Use starting and ending keywords with correct syntax.

Challenge and get performance evaluation