Secret Burger Recipes

Tom is the Burger Master and he just gave me a secret recipe of how to prepare the most delicious burger in the world. First, take a bun as the base. Then, add a meatloaf on it. Lastly, put another bun on top of it and we are done. Today, Tom gets an order for 3 burgers. Find the number of distinct ways are there for Tom to produce these 3 burgers divided by 10

Details and Assumptions

Tom doesn't need to finish the first burger to continue to the next burger, he also doesn't need to finish all the base to continue to the meatloaf.

For example: He can first put on the base of the first burger, then put on the base for the second burger, then put on the meatloaf for the first burger, then put on the base for the third burger.. etc...


The answer is 168.

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