TopsOJ Summer 2025 - Guts Round - Problem 19

Curious George is back again, with 6 yellow bananas, 5 green bananas, and 4 blue bananas. He eats all of them and notices that the first 3 bananas were all different colors and the last 3 bananas were also all different colors. In how many different orderings could George have eaten the bananas? (Bananas of the same color are indistinguishable).