A train is going from Mumbai to Pune and make 5 stops on the way. Three persons enter the train after it has started from Mumbai with 3 different tickets. How many different sets of tickets may they have had?
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Step-by-step explanation:
Given A train is going from Mumbai to Pune and make 5 stops on the way. Three persons enter the train after it has started from Mumbai with 3 different tickets. How many different sets of tickets may they have had?
- Now three persons enter the train which is going from Mumbai to Pune.
- According to the question the train makes 5 stops.
- So in the first stop the persons could have bought tickets for 2nd 3rd 4th or 5th stops or for Pune
- So in the 2nd stop they could have bought for 3,4, or 5th stops or for Pune.
- Similarly in the 3rd stop they could have bought for 4th or 5th stops or for Pune.
- So in the 4th stop they could have bought for 5th stop or for Pune
- Finally in the 5th stop they could have bought one ticket for Pune.
- So we have 15 tickets available that is 5 + 4 + 3 + 2 + 1 = 15
- Out of these 3 tickets must be selected and can be done in 15 C 3 ways.
- = 15! / 3! (15 – 3)!
- = 455 ways
- Reference link will be
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Answer:
455ways
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