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# A photographer will arrange 6 people of 6 different heights

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Manager
Joined: 16 Oct 2008
Posts: 54

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A photographer will arrange 6 people of 6 different heights [#permalink]

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30 Oct 2008, 00:53
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?

A. 5
B. 6
C. 9
D. 24
E. 36

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Intern
Joined: 30 Oct 2008
Posts: 30

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30 Oct 2008, 07:36
Is answer A? If yes, my explanation.

Consider heights as 1, 2, 3, 4, 5, 6.
You have to fix 1 at left most position in first row and 6 at right most position in second row. Then use brute force

Row1 Row2
(1, 2, 3) (4, 5, 6)
(1, 2 4) (3, 5, 6)
(1, 2, 5) (3, 4, 6)
(1, 3, 4) (2, 5, 6)
(1, 3, 5) (2, 4, 6)

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Manager
Joined: 16 Oct 2008
Posts: 54

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30 Oct 2008, 20:47
OA is A,

Btw, Do you have other approach in case if the number is a lot, than can not illustrate all cases.

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Re: Prob Q   [#permalink] 30 Oct 2008, 20:47
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