1.3 - Paths with a Blocked Intersection
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Practice Questions
Test your understanding with targeted questions
How many total paths exist in a 3 by 2 grid?
💡 Hint: Use the combination formula for paths.
What does \(C(n,k)\) represent?
💡 Hint: Think about how you choose items.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
How many paths exist from (0,0) to (5,10)?
💡 Hint: Think of the total steps needed.
Is it possible to move from (0,0) to (5,10) without encountering a blocked intersection?
💡 Hint: Consider valid pathways.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
You have a 6 by 6 grid and a blocked intersection at (3,3). Calculate the valid paths from (0,0) to (6,6).
💡 Hint: Use the combination formula to solve.
In a 7 by 7 grid with blockages at (4,5) and (5,4), find how many valid paths still exist.
💡 Hint: Count paths through each block then adjust for overlaps.
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