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3 cards from this section. Quick, good the night before a test.
Define what a valid path is.
Think about the movements allowed.
How many total moves are there from (0,0) to (n,n)?
Count how many R's and T's are needed.
What is the total number of moves from (0, 0) to (n, n)?
Count both direction moves.
True or False: You can move left or down while traveling from (0,0) to (n,n).
Reflect on the definitions of valid paths.
If n=4, calculate the total valid paths and explain the method used.
Use the formula for the binomial coefficient.
Visualize a grid of n=3 and list all paths. How many distinct valid paths are there?
Each valid path is formed by ensuring no undesired movements occur.
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