SOLUTION: there are 3 airports. one flight flies from one airport to each of the other airports every day. how many flights are there in each day

Algebra.Com
Question 748152: there are 3 airports. one flight flies from one airport to each of the other airports every day. how many flights are there in each day
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
there are 3 airports. one flight flies from one airport to each of the other airports every day. how many flights are there in each day
Each flight has an AIRPORT OF DEPARTURE and an AIRPORT OF ARRIVAL.  You can
choose the AIRPORT OF DEPARTURE in 3 ways and for everyone of those 3 ways,
there remain 2 ways to choose the AIRPORT OF ARRIVAL.  That's 3×2 or 6 ways.  


This is a permutation because ORDER MATTERS!  The order of going FROM airport A
TO airport B is different from reversing the order and going from Airport B to
Airport A.  ORDER MATTERS, so it's P(3,3) = 3! = 3×2×1 = 6.   They are

1. Airport A to Airport B
2. Airport A to Airport C
3. Airport B to Airport A
4. Airport B to Airport C
5. Airport C to Airport A
6. Airport C to Airport B 

Edwin
RELATED QUESTIONS

A one-plane airline has a passenger capacity of 120. The number of passengers on a... (answered by jim_thompson5910)
Plane A flies from airport A to airport B with 800 km/h. Plane B flies from airport B to... (answered by TimothyLamb)
A recent study showed that 75 % of commercial airline flights in and out of the US... (answered by Edwin McCravy)
John will be staying with his grandparents for a week. There are four flights that leave... (answered by stanbon)
Two planes set off simultaneously flying towards each other,from airports 900km apart.one (answered by stanbon)
Airports A and B are 448 km apart, on an east-west line. Jim flies in a northeast... (answered by Theo)
Two planes started at the same time from tow different airports that are 3,600 kilometers (answered by checkley77,stanbon)
Two planes started at the same time from two airports that are 3,600 kilometers apart and (answered by fdsalicia)
Two planes left at the same time from two airports that are 1550 miles apart and flew... (answered by ankor@dixie-net.com)