1 - Grid Paths
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Practice Questions
Test your understanding with targeted questions
What is the total number of paths from (0,0) to (1,1)?
💡 Hint: Count the combinations of rights and ups.
How many unique paths exist in a 2x2 grid?
💡 Hint: You will have to move right and up once each.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for combinations?
💡 Hint: Focus on the factorial notation.
The inclusion-exclusion principle helps avoid what?
💡 Hint: Remember how overlaps can lead to double counting.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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