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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
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Math
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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the total number of paths from (0,0) to (1,1)?
💡 Hint: Count the combinations of rights and ups.
Question 2
Easy
How many unique paths exist in a 2x2 grid?
💡 Hint: You will have to move right and up once each.
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 formula for combinations?
- n! / (k!(n-k)!)
- k! / (n!(k-n)!)
- k! * (n+k)!
💡 Hint: Focus on the factorial notation.
Question 2
The inclusion-exclusion principle helps avoid what?
- True
- False
💡 Hint: Remember how overlaps can lead to double counting.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a grid from (0,0) to (7,5). If points (3,2) and (5,4) are blocked, what is the number of valid paths?
💡 Hint: Break down each segment into path counts.
Question 2
In a 10x10 grid, if the path must avoid (5,5) and (6,6), formulate a counting strategy.
💡 Hint: Create combinations for segments before and after blockages.
Challenge and get performance evaluation