SOLUTION: Greyhound bus services 7 cities within a 300 mile radius. You must make a route for a particular bus that goes to three of the 7 cities. How many different routes can be made for
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Question 590146: Greyhound bus services 7 cities within a 300 mile radius. You must make a route for a particular bus that goes to three of the 7 cities. How many different routes can be made for the bus? All possible routes to the same three cities are considered the same since they service the same three cities. For example, a route that goes from City 3 to City 6, to City 5 is considered the same as the route that goes from City 5 to City 3 to City 6. Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! This is a combination problem because arrangement doesn't matter.
nCr = 7C3 = 7!/(4!*3!) = 35 different routes can be made for the bus.
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Ed
