combinatorics

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smallsorrow: Master | Next Rank: 500 Posts; Posts: 109; Joined: Mon Sep 08, 2008 12:47 am

combinatorics

by smallsorrow » Fri Oct 03, 2008 10:59 am

A photographer will arrange 6 people of 6 diferent heights for photograph by placing them in 2 rows of three so that each person in the first 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 is possible?

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

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Source: Beat The GMAT — Problem Solving | Fri Oct 03, 2008 10:59 am

dally_gmat: Senior | Next Rank: 100 Posts; Posts: 31; Joined: Mon Sep 15, 2008 6:16 pm; Thanked: 3 times

Re: combinatorics

by dally_gmat » Fri Oct 03, 2008 11:19 am

What is OA?

smallsorrow wrote:A photographer will arrange 6 people of 6 diferent heights for photograph by placing them in 2 rows of three so that each person in the first 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 is possible?

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