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# 7 people, A, B, C, D, E, F and H, go to a movie and sit next

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Manager
Status: struggling with GMAT
Joined: 06 Dec 2012
Posts: 228
Concentration: Accounting
GMAT Date: 04-06-2013
GPA: 3.65
Followers: 14

Kudos [?]: 275 [0], given: 46

7 people, A, B, C, D, E, F and H, go to a movie and sit next [#permalink]

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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?
Manager
Joined: 27 Feb 2012
Posts: 137
Followers: 1

Kudos [?]: 45 [0], given: 22

Re: 7 people, A, B, C, D, E, F and H, go to a movie and sit next [#permalink]

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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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# 7 people, A, B, C, D, E, F and H, go to a movie and sit next

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