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# A photo is being taken of Central High School's nine-member

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A photo is being taken of Central High School's nine-member [#permalink]  18 Mar 2012, 03:19
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70% (01:48) correct 30% (01:43) wrong based on 0 sessions
A photo is being taken of Central High School's nine-member wrestling team. The team will stand in two rows, with the five shortest in the front row. The coach is also in the picture, in the middle of the back row. One of the taller boys is known to misbehave; to keep him from disrupting the photo session, he is placed next to the coach. How many possible arrangements of people are there for the photo?

A. 24
B. 30
C. 720
D. 1440
E. 2880

Guys M clear with arrange in front row ---5!

But for Back row i not sure
[Reveal] Spoiler: OA

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Re: A photo is being taken of Central High School's nine-member [#permalink]  18 Mar 2012, 05:38
GMATD11 wrote:
A photo is being taken of Central High School's nine-member wrestling team. The team will stand in two rows, with the five shortest in the front row. The coach is also in the picture, in the middle of the back row. One of the taller boys is known to misbehave; to keep him from disrupting the photo session, he is placed next to the coach. How many possible arrangements of people are there for the photo?

A. 24
B. 30
C. 720
D. 1440
E. 2880

Guys M clear with arrange in front row ---5!

But for Back row i not sure

FG[X]HI
ABCDE

ABCDE in in the front row can be arranged in 5!;
G (the boy who misbehaves) can be either to the right of the coach (X, which is fixed in the middle) or to the left, so 2 options, and other 3 boys (F, H, I) in the back row can be arranged in 3! ways;

Total: 5!*2*3!=1,440.

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Re: A photo is being taken of Central High School's nine-member   [#permalink] 18 Mar 2012, 05:38
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