It is currently 21 Oct 2017, 11:06

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A photographer will arrange 6 people of 6 different heights

Author Message
Manager
Joined: 14 Jan 2006
Posts: 96

Kudos [?]: 40 [1], given: 2

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

### Show Tags

23 Sep 2008, 14:00
1
KUDOS
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

Kudos [?]: 40 [1], given: 2

Senior Manager
Joined: 31 Jul 2008
Posts: 290

Kudos [?]: 56 [0], given: 0

Re: GMAT SET 19 - 5 [#permalink]

### Show Tags

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

456
123

Kudos [?]: 56 [0], given: 0

Intern
Joined: 05 Jun 2007
Posts: 48

Kudos [?]: 8 [0], given: 0

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

### Show Tags

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??

Kudos [?]: 8 [0], given: 0

Intern
Joined: 21 Sep 2008
Posts: 17

Kudos [?]: 4 [0], given: 0

Re: GMAT SET 19 - 5 [#permalink]

### Show Tags

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

Kudos [?]: 4 [0], given: 0

Intern
Joined: 13 Aug 2008
Posts: 17

Kudos [?]: 3 [0], given: 0

Re: GMAT SET 19 - 5 [#permalink]

### Show Tags

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

Kudos [?]: 3 [0], given: 0

Manager
Joined: 22 Jul 2008
Posts: 146

Kudos [?]: 18 [0], given: 0

Re: GMAT SET 19 - 5 [#permalink]

### Show Tags

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.

Kudos [?]: 18 [0], given: 0

Re: GMAT SET 19 - 5   [#permalink] 24 Sep 2008, 07:35
Display posts from previous: Sort by