179.Arranging Colored Balls in a Line
★★★combinatoricsCh. 1 — Classical Probability and Combinatorics444+ Problems in Probability
How many distinct ways can you arrange 3 red balls, 7 blue balls, and 9 green balls in a line? Balls of the same color are indistinguishable.
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This is a multinomial coefficient — divide out the internal orderings of each color.
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