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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
How many total paths exist in a 3 by 2 grid?
💡 Hint: Use the combination formula for paths.
Question 2
Easy
What does \(C(n,k)\) represent?
💡 Hint: Think about how you choose items.
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
How many paths exist from (0,0) to (5,10)?
- 100
- 1500
- 3003
💡 Hint: Think of the total steps needed.
Question 2
Is it possible to move from (0,0) to (5,10) without encountering a blocked intersection?
- True
- False
💡 Hint: Consider valid pathways.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation