How many different fares are there for a passenger train between a and B stopping at two stations

How many different fares are there for a passenger train between a and B stopping at two stations


Without considering the railway problem, there are six pure mathematical answers



If the train between a and B stops at three stations, there will be______ Different fares (same round-trip fare) need to be prepared______ I want to buy a ticket


This question is equivalent to how many different fares there are in a line segment with three points, that is, how many lines there are: 4 + 3 + 2 + 1 = 10; how many kinds of tickets need to be considered in order, 10 × 2 = 20



Q: (1) how many different fares do you have? Why? (2) how many different tickets do you need to prepare
The train between a and B stops at three stations
Q: (1) how many different fares are there and why?
(2) How many different kinds of tickets need to be prepared? Why?


1. A and B trains stop at three stations, that is, there are four different distances and 10 different fares
Because there will be four different distance one station, three different two station, two different three station and one different four station
2. Same as 1



There are several different fares for the trains between a and B, which stop at three stations in the middle of the way, and several kinds of tickets need to be prepared
Why 5 * 2?


There are three stops on the way, and five stops in total
Each station has tickets to the other four stations
So the total number of tickets is 5X4 = 20
But the ticket price is the same for going back
So there are 20 / 2 = 10 kinds of tickets