Question

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?

Answer 1

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:

$C_6^{18}=\frac{18!}{6!(18-6)!}=18564$

So, exist 18564 different possibilities.