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01.Grid Paths on a 6×6 Board

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combinatoricsCh. 1 — Classical Probability and Combinatorics444+ Problems in Probability
You are playing a 2D game where you are trapped within a 6×66 \times 6 grid and navigate via points on the grid. You start at the bottom left point (0,0)(0,0) and can only move up and right. How many possible paths can you take to reach the top right point (6,6)(6,6)?

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