# Off-peak Bus Journey

Level pending

6 (indistinguishable) people get on to an empty bus as it begins its route, and no one else boards the bus once it has set off. There are 10 (distinguishable) stops where the passengers may get off the bus. When the bus reaches the end of the line it must be empty. Let n be the number of ways that the passengers can leave the bus. What is the sum of the digits of n?

$$\textbf{ Details and Assumptions }$$

It is the number of people that get off at each of the 10 stops which matters, not who the people are who get off

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