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Senior Manager
Status: struggling with GMAT
Joined: 06 Dec 2012
Posts: 323
Location: Bangladesh
Concentration: Accounting
GMAT Date: 04-06-2013
GPA: 3.65
Followers: 5
Kudos [?]:
27
[0], given: 46
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7 people, A, B, C, D, E, F and H, go to a movie and sit next [#permalink]
 28 Feb 2013, 12:50
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7 people, A, B, C, D, E, F and H, go to a movie and sit next to each other in 8 adjacent seats in the front row of the theatre. In how many different arrangements will there be at least one person between A and F?
how this problem be solved?
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Manager
Joined: 27 Feb 2012
Posts: 102
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Re: 7 people, A, B, C, D, E, F and H, go to a movie and sit next [#permalink]
28 Feb 2013, 13:11
mun23 wrote: 7 people, A, B, C, D, E, F and H, go to a movie and sit next to each other in 8 adjacent seats in the front row of the theatre. In how many different arrangements will there be at least one person between A and F?
how this problem be solved? We need to find at least one person between A and F which is equal to Total ways - No one between A and F Eight people can be arranged in 8! ways. No one between A and F is equal to 7!*2! (consider A and F as one. 7 people can be arranged in 7! and A and F in 2!) So, total ways = 8! - 7!2
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Re: 7 people, A, B, C, D, E, F and H, go to a movie and sit next
[#permalink]
28 Feb 2013, 13:11
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