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 Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

An employer has 6 applicants for a programming position
[#permalink]

Show Tags

10 Sep 2016, 07:10

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

79% (00:47) correct 21% (00:42) wrong based on 98 sessions

HideShow timer Statistics

An employer has 6 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?

Re: An employer has 6 applicants for a programming position
[#permalink]

Show Tags

10 Sep 2016, 07:21

azamaka wrote:

An employer has 6 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?

Re: An employer has 6 applicants for a programming position
[#permalink]

Show Tags

19 Nov 2017, 14:49

1

Top Contributor

azamaka wrote:

An employer has 6 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?

a) 1,490 b) 132 c) 120 d) 60 e) 23

Take the task of selecting employees and break it into stages.

Stage 1: Select 3 programmers to hire Since the order in which we select the programmers does not matter, we can use combinations. We can select 3 programmers from 6 programmers in 6C3 ways (20 ways) So, we can complete stage 1 in 20 ways

Stage 2: Select 2 managers to hire Once again, we can use combinations We can select 2 managers from 4 applicants in 4C2 ways (6 ways) So, we can complete stage 2 in 6 ways

By the Fundamental Counting Principle (FCP), we can complete the 2 (and thus hire all of the people) in (20)(6) ways (= 120 ways)

Answer: C

Note: the FCP can be used to solve the MAJORITY of counting questions on the GMAT. So, be sure to learn it.

Re: An employer has 6 applicants for a programming position
[#permalink]

Show Tags

22 Nov 2017, 12:25

1

azamaka wrote:

An employer has 6 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?

a) 1,490 b) 132 c) 120 d) 60 e) 23

The programmers can be selected in 6C3 = 6!/3![(6-3)!] = (6 x 5 x 4)/3! = (6 x 5 x 4)/(3 x 2) = 20 ways.

The managers can be selected in 4C2 = 4!/[2!(4-2)!] = (4 x 3)/2! = 6 ways.

Thus, the total number of ways to select the group is 20 x 6 = 120.

Answer: C
_________________

Jeffery Miller Head of GMAT Instruction

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions