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A photographer will arrange 6 people of 6 different heights

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Manager
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B
Joined: 14 Jan 2006
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Schools: HKUST
A photographer will arrange 6 people of 6 different heights [#permalink]

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New post 23 Sep 2008, 14:00
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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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Senior Manager
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Joined: 31 Jul 2008
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Re: GMAT SET 19 - 5 [#permalink]

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New post 23 Sep 2008, 14:37
probably m not getting the Q right ...but to me there seems to be only one possibility.


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Schools: CMU, Ross, Kellogg, Case, OSU, Stanford, Kelley
Re: GMAT SET 19 - 5 [#permalink]

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New post 24 Sep 2008, 00:25
I think the ans is B i.e. 6 arrangements are possible.
But I was able to solve this as there were only 6 people so I could list down the arrangements.

Whats the mathematical way of solving this??

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Re: GMAT SET 19 - 5 [#permalink]

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New post 24 Sep 2008, 02:57
The answer is 5 (Option A)

If we assume a1, a2, a3, a4, a5, a6 as 6 diff ppl with thier hts in the order a1 < a2 < a3 < a4 <a5 <a6
Then the folloing arrangements are possible

1)a4, a5, a6
a1, a2, a3

2)a2, a5, a6
a1, a3, a4

3)a2, a4, a6
a1, a3, a5

4)a3, a5, a6
a1, a2, a4

5)a3, a4, a6
a1, a2, a5

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Re: GMAT SET 19 - 5 [#permalink]

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New post 24 Sep 2008, 04:45
I could find only 5 arrangements(listed below)!Am I missing anything?? Maths gurus..whats the way to do this apart from sitting for 10 mins and listing down the arrangements??

456
123

246
135

346
125

256
134

256
143

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Re: GMAT SET 19 - 5 [#permalink]

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New post 24 Sep 2008, 07:35
Row 2 : (1,3,5) Row 1: (2,4,6)
2: (1,2,3) 1: (4,5,6)
2: (1,3,4) 1: (2,5,6)
2: (1,2,4) 1: (3,5,6)
2: (1,2,5) 1: (3,4,6)

5 arrangements.

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Re: GMAT SET 19 - 5   [#permalink] 24 Sep 2008, 07:35
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A photographer will arrange 6 people of 6 different heights

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