Arranging colored balls in a line

In how many distinguishable ways can 33 red, 77 blue, and 99 green balls (identical within each color) be arranged in a line?

Show hints (2)+
  1. Total items 1919; divide by the permutations within each color.
  2. 19!3!7!9!\dfrac{19!}{3!\,7!\,9!}.

Answer

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