P&C

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sudhir3127: Legendary Member; Posts: 829; Joined: Mon Jul 07, 2008 10:09 pmFollowed by: 3 members; Location: INDIA; Thanked: 84 times

by sudhir3127 » Mon Jul 28, 2008 7:36 am

A train is going from Point A to point B and makes 5 stops on the way. If 3 persons enter the train during the journey with 3 different tickets.How many different set of tickets they may had?

ANswer after some discussion...

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Source: Beat The GMAT — Problem Solving | Mon Jul 28, 2008 7:36 am

ricky: Master | Next Rank: 500 Posts; Posts: 118; Joined: Sun Jun 01, 2008 1:47 pmFollowed by: 1 member; Thanked: 5 times

by ricky » Mon Jul 28, 2008 8:05 am

Is the answer 56?

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Chitts: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Tue Jun 17, 2008 7:36 am

by Chitts » Mon Jul 28, 2008 8:13 am

Sudhir I tried solving the sum below way..

Total possible tickets from A to B would be 6! = 720.
Now one has to choose 3 out of 6!(720) possibilities.
Hence answer is 720C3.

Is this approach correct?

Regards,
Chitts

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pepeprepa: Legendary Member; Posts: 661; Joined: Tue Jul 08, 2008 12:58 pm; Location: France; Thanked: 48 times

by pepeprepa » Mon Jul 28, 2008 1:19 pm

I would say 10.

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TRANGZON: Junior | Next Rank: 30 Posts; Posts: 22; Joined: Mon Apr 14, 2008 3:36 pm; Location: California; Thanked: 1 times

by TRANGZON » Mon Jul 28, 2008 2:39 pm

call 5 stop are a, b, c, d, e

counter possible tickets:
ab ac ad ae
bc bd be
cd ce
de

the answer is 4+3+2+1=10

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sudhir3127: Legendary Member; Posts: 829; Joined: Mon Jul 07, 2008 10:09 pmFollowed by: 3 members; Location: INDIA; Thanked: 84 times

by sudhir3127 » Mon Jul 28, 2008 8:28 pm

Thanks a lot all for the discuss..
the answer is 15C3..

here it goes..

Ist station ... from where they could have bought tickets to any one of the five destination in 5 ways..

2nd station..
Ist station ... from where they could have bought tickets to any one of the four destination in 4 ways

sinilarly all.. hence it would be 5+4+3+2+1= 15 ways

hence 15 tickets are available out of which 3 tickets are to be choosen ..
therefore

15C3.

Please let me know if u guys are not claer on this...

Thanks All

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pepeprepa: Legendary Member; Posts: 661; Joined: Tue Jul 08, 2008 12:58 pm; Location: France; Thanked: 48 times

by pepeprepa » Mon Jul 28, 2008 9:45 pm

Ok I thought people entered at different stations but their final stop was B for all of them.

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