Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
- Jun 06
08:00 PM PDT
-09:00 PM PDT
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations! - Jun 07
12:00 PM PDT
-01:00 PM PDT
In this GMAT experience talk show, we talk to Tavishi, a young MBA aspirant from India who recently scored 725 in her latest GMAT Focus exam. It’s a 99.9 percentile score on the new GMAT Focus edition and she achieved this feat in her first GMAT attempt. - Jun 08
05:30 AM PDT
-07:30 AM PDT
The Focus Edition allows barely 2 minutes per question. Hence, rereading portions of passages is not an option. Learn our Involved and Evolved reading strategy, the most efficacious solution to time saving on RC and score high on GMAT Verbal! - Jun 08
11:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test. - Jun 09
05:30 AM PDT
-07:30 AM PDT
Ready to conquer GMAT's toughest Data Insights questions? Unlock the secrets of Graphical Interpretation & Two-Part Analysis with our expert-led webinar! Limited seats! - Jun 09
11:00 AM IST
-01:00 PM IST
Attend this session to evaluate your current skill level, learn process skills, and solve through tough Arithmetic questions - Jun 11
05:30 AM PDT
-12:00 PM PDT
Register for the GMAT Club Virtual MBA Spotlight fair, the biggest MBA fair of the year. You will have a chance to hear Admissions directors from almost every Top 20 program speak, network with peers, and more.
A company will select 2 of the 6 candidates available to work in 2 dif
[#permalink]
10 May 2019, 08:48
7
Kudos
10
Bookmarks
Show timer
00:00
A
B
C
D
E
Difficulty:
Question Stats:
62% (01:50) correct
A company will select 2 of the 6 candidates available to work in 2 different positions in Technology team and 3 of the 7 candidates to work in the same position in HR team. Find the number of ways in which company can fill the positions?
A. 57
B. 65
C. 128
D. 256
E. 1050
A. 57
B. 65
C. 128
D. 256
E. 1050
Re: A company will select 2 of the 6 candidates available to work in 2 dif
[#permalink]
10 May 2019, 10:35
1
Kudos
2
Bookmarks
for the two different positions: 6C2 * 2! = 15*2 = 30
for the three same positions : 7C3 = 35
so number of ways = 30*35 = 1050
E
(I think the difficulty relies in confusing to add instead of multiply)
for the three same positions : 7C3 = 35
so number of ways = 30*35 = 1050
E
(I think the difficulty relies in confusing to add instead of multiply)
Re: A company will select 2 of the 6 candidates available to work in 2 dif
[#permalink]
10 May 2019, 11:47
1
Bookmarks
Expert Reply
mangamma wrote:
A company will select 2 of the 6 candidates available to work in 2 different positions in Technology team and 3 of the 7 candidates to work in the same position in HR team. Find the number of ways in which company can fill the positions?
A. 57
B. 65
C. 128
D. 256
E. 1050
A. 57
B. 65
C. 128
D. 256
E. 1050
2 are to be selected out of 6 for 2 different positions hence it involves selection and arrangement on the two positions.
First position can be filled in 6 ways and second in 5 ways to give a total of 6*5= 30 ways
3 of the 7 candidates are to be selected for the same role e.g. HR manager. So here we only need to select 3 of 7 in 7C3 = 35 ways.
So the company can fill the positions in 30*35 = 1050 ways
For more, check: https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/1 ... inatorics/
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/1 ... binations/