194.Lattice Paths in 3D
★★★combinatoricsCh. 1 — Classical Probability and Combinatorics444+ Problems in Probability
What is the total number of paths from to in 3D space, given that at each step we can move one unit right, forward, or up?
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Arrange a sequence of 12 moves: 3 of one kind, 4 of another, 5 of a third.
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