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A photographer will arrange 6 people of 6 different heights

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Kinshook
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Re: A photographer will arrange 6 people of 6 different heights [#permalink] New post   20 Sep 2019, 10:00
Bunuel wrote:
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


Arrangements possible:-

123
456

135
246

125
346

124
356

134
256

IMO A
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MG1105
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Re: A photographer will arrange 6 people of 6 different heights [#permalink] New post   28 Apr 2020, 04:32
Bunuel
Basically the only option we have is to choose the three people who will stand in the front row. All other permutation will be governed by the height order and hence is 1 (since there can only be one way to line up people as per their height unless the height is same). So the answer should be 6C3, right? Just wanted to confirm if this is the correct approach.
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moizfida
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Re: A photographer will arrange 6 people of 6 different heights [#permalink] New post   22 Apr 2021, 01:11
what about the same thing with 12 people where there are 6 in each row
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Re: A photographer will arrange 6 people of 6 different heights [#permalink] New post   11 Jul 2023, 04:38
Bunuel wrote:
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


This was the last question in my Official GMAT mock, Spent 7min 33 Secs, got it right. :)
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Re: A photographer will arrange 6 people of 6 different heights [#permalink]
11 Jul 2023, 04:38
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