A bus travelling from Bangalore to Hyderabad makes 4 stops during the entire journey. Four people enter the bus after has started from Bangalore with four different tickets
How many different sets of tickets can the four people possibly have in the given scenario?
Answers
Answer:
if a person boards the train at Cambridge,he has 10 options of leaving the train(at any of the 9 intermediate stations or at London).
In the same way,if a person boards the train at the next station(first station after Cambridge)he has 9options of leaving the train.
Given,
A bus traveling from Bangalore to Hyderabad makes four stops during the entire journey. Four people entered the bus after it started from Bangalore with four different tickets.
To find,
How many distinct sets of tickets the four persons might have in the current scenario.
Solution,
We can answer this numerical problem by using the following process.
Because four people board the train after it departs from Bangalore, they may have arrived at:
- Bangalore (where they could have bought tickets for the 2nd, 3rd, or Hyderabad 3 tickets).
- The next station (from where they could have bought tickets for 3rd, or Hyderabad 2 tickets)
- Third station (from where they could have bought tickets for Hyderabad 1 ticket).
As a result, we can see that there are (3+2+1) 6 tickets available, of which four have to be chosen.
That is done in ⁶C₄ ways.
As a result, there are ⁶C₄ different sets of tickets that the four people can have in the given scenario.