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Eighteenpassengers get on an airport shuttle at the airport. The shuttle has a route that includessixhotels, and passengersgetoff the shuttle at theirhotel. The driver records how many passengers leave the shuttle at each hotel. How many different possibilities exist?

Respuesta :

vlatkostojanovic

Answer:

So, exist 18564 different possibilities.

Step-by-step explanation:

We know that the eighteen passengers get on an airport shuttle at the airport.  The shuttle has a route that includes six hotels, and passengers get off the shuttle at their hotel.

We calcuate how many different possibilities exist that eighteen passengers can choose six hotels. We get:

[tex]C_6^{18}=\frac{18!}{6!(18-6)!}=18564[/tex]

So, exist 18564 different possibilities.

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