Katie has 9 employees that she must assign to 3 different pr

BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

Katie has 9 employees that she must assign to 3 different pr

by BTGmoderatorDC » Sun Aug 04, 2019 3:43 pm

Timer

00:00

Your Answer

Global Stats

Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations of project assignments are possible?

A. 252
B. 1,680
C. 2,340
D. 362,880
E. 592,704

OA B

Source: Princeton Review

Quote

Source: Beat The GMAT — Problem Solving | Sun Aug 04, 2019 3:43 pm

GMAT/MBA Expert

Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

by Jay@ManhattanReview » Sun Aug 04, 2019 8:53 pm

BTGmoderatorDC wrote:Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations of project assignments are possible?

A. 252
B. 1,680
C. 2,340
D. 362,880
E. 592,704

OA B

Source: Princeton Review

Number of ways Katie can assign any 3 employees to the first project = 9C3 = (9.8.7)/(1.2.3) = 84;

Number of ways Katie can assign any 3 employees to the second project = 6C3 = (6.5.4)/(1.2.3) = 20; since out of 9 employees, 3 are assigned to the first project, only 6 employees are remaining for the selection

Number of ways Katie can assign any 3 employees to the third project = 3C3 = 1

Total number fo ways = 84*20*1 = 1,680

The correct answer: B

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: Manhattan Review GMAT Prep | Free SAT Practice Questions | LSAT Prep Courses Oxford | SAT Prep Courses Singapore | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

Quote

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Sun Aug 11, 2019 6:13 pm

BTGmoderatorDC wrote:Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations of project assignments are possible?

A. 252
B. 1,680
C. 2,340
D. 362,880
E. 592,704

OA B

Source: Princeton Review

The first 3 employees can be selected in 9C3 = (9 x 8 x 7)/3! = 3 x 4 x 7 = 84 ways.

The next 3 employees can be selected in 6C3 = (6 x 5 x 4)/3! = 20 ways.

The final 3 employees can be selected in 3C3 = 1 way.

Therefore, the total number of ways the 3 projects can be assigned is:

84 x 20 x 1 = 1,680

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]