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2 cards from this section. Quick, good the night before a test.
How many total paths are there from (0,0) to (3,2)?
Consider how many total moves and how you can arrange them.
What is '4 choose 2'?
Think about how you can choose 2 moves from a total of 4.
How many unique paths are there from (0,0) to (3,3)?
Think about total steps and how to arrange vertical and horizontal moves.
True or False: The number of paths going through (1,1) in a 3x3 grid is always the same as going through (2,2).
Consider how each point's distance affects available paths.
Design a larger grid path model where various points are blocked. Calculate the remaining valid paths using inclusion-exclusion principles.
Draw a smaller grid to visualize blocked paths and use known combinations.
Create a scenario with multiple paths and suggest how you might compute the benefits or drawbacks of various paths in a real-world situation.
Think about traffic flows and how to avoid congestion.
4 more questions in this section. Enroll free to practise them all.
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