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A photographer will arrange 6 people of 6 different heights [#permalink]
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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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Re: GMAT SET 19  5 [#permalink]
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23 Sep 2008, 14:37
probably m not getting the Q right ...but to me there seems to be only one possibility.
456 123



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Re: GMAT SET 19  5 [#permalink]
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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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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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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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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.




Re: GMAT SET 19  5
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24 Sep 2008, 07:35






