4-person task force (GMAT Prep)

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alex.gellatly: Master | Next Rank: 500 Posts; Posts: 435; Joined: Wed Nov 16, 2011 7:27 amFollowed by: 16 members; Thanked: 48 times

by alex.gellatly » Sat Jun 30, 2012 3:07 am

A 4-person task force is to be formed from the 4 men and 3 women who work in Company G's human resources department. If there are to be 2 men and 2 women on this task force, how many different task forces can be formed?

14
18
35
56
144

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Source: Beat The GMAT — Problem Solving | Sat Jun 30, 2012 3:07 am

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sat Jun 30, 2012 3:19 am

alex.gellatly wrote:A 4-person task force is to be formed from the 4 men and 3 women who work in Company G's human resources department. If there are to be 2 men and 2 women on this task force, how many different task forces can be formed?

Number of ways to select 2 men from 4 = 4C2 = 6
Number of ways to select 2 women from 3 = 3C2 = 3

Hence, number of different task forces = 6*3 = 18

The correct answer is B.

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sandeep_thaparianz: Senior | Next Rank: 100 Posts; Posts: 90; Joined: Wed Mar 21, 2012 1:27 amFollowed by: 2 members; Thanked: 5 times

by sandeep_thaparianz » Sat Jun 30, 2012 5:38 am

+1 for B

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