GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Jan 2019, 09:10

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

we will pick new questions that match your level based on your Timer History

Track

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

Events & Promotions

Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.

A company will select 2 of the 6 candidates available to work in 2 dif

Author Message
TAGS:

Hide Tags

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2456
A company will select 2 of the 6 candidates available to work in 2 dif  [#permalink]

Show Tags

Updated on: 13 Aug 2018, 05:28
1
4
00:00

Difficulty:

45% (medium)

Question Stats:

54% (02:09) correct 46% (02:05) wrong based on 97 sessions

HideShow timer Statistics

3 Deadly mistakes in Permutation and Combination - Exercise Question #3

3- 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?

Options
A. 57
B. 65
C. 128
D. 256
E. 1050

Learn to use the Keyword Approach in Solving PnC question from the following article:

Article-1: Learn when to “Add” and “Multiply” in Permutation & Combination questions

Article-2: Fool-proof method to Differentiate between Permutation & Combination Questions

Article-3: 3 deadly mistakes you must avoid in Permutation & Combination

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Originally posted by EgmatQuantExpert on 18 Apr 2018, 04:25.
Last edited by EgmatQuantExpert on 13 Aug 2018, 05:28, edited 4 times in total.
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2456
Re: A company will select 2 of the 6 candidates available to work in 2 dif  [#permalink]

Show Tags

Updated on: 23 Apr 2018, 03:39

Solution

Given:
• A company will select 2of the 6 candidates available to work in 2 different positions in Technology team.
• And, the company will also select 3 of the 7 candidates to work in the same position in HR team.

To find:
• We need to find the number of ways in which company can fill all the positions.

Approach and Working:

• Total ways= Ways to fill 2 positions in technology team * Ways to fill 3 positions in HR team

Ways to fill 2 positions in technology team:

• We need to select 2 candidates from 6 candidates but both of them will have different positions.
o This is the case of arrangement of 2 people for two positions.
• Hence, total ways to fill 2 positions= $$^6P_2$$=30

Ways to fill 3 positions in HR team:
• We need to select 2 candidates from 6 candidates but all of them will have identical positions.
o This is the case of arrangement of identical objects.
• Hence, total ways to fill 3 positions= $$^7C_3$$=35

Thus, total ways to fill all the positions= 30*35= 1050.
Hence, the correct answer is option E.

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Originally posted by EgmatQuantExpert on 18 Apr 2018, 04:32.
Last edited by EgmatQuantExpert on 23 Apr 2018, 03:39, edited 1 time in total.
Manager
Joined: 30 Mar 2017
Posts: 134
GMAT 1: 200 Q1 V1
Re: A company will select 2 of the 6 candidates available to work in 2 dif  [#permalink]

Show Tags

18 Apr 2018, 18:39
I'm getting a totally different answer...

Task 1 AND Task 2 = (select 2 out of 6 to work in 2 different positions) AND (select 3 out of 7 to work in the same position)

Task 1: since the positions are different, AB is different from BA, which makes this an arrangement question. 6P2=30.
30 ways to select 2 out of 6 to work in 2 different positions
or different way to think of it, there are 6 ways to fill the first tech position and 5 ways to fill the 2nd tech position. total = 30 ways to fill 2 diff tech positions

Task 2: since it's the same position, ABC is the same as CBA is the same as BAC etc, which makes this a selection question. 7C3=35
35 ways to select 3 out of 7 to work in the same position

Where's my mistake?
Manager
Joined: 01 Feb 2018
Posts: 76
Location: India
Concentration: Entrepreneurship, Marketing
GPA: 4
WE: Consulting (Consulting)
Re: A company will select 2 of the 6 candidates available to work in 2 dif  [#permalink]

Show Tags

20 Apr 2018, 06:39
[quote="aserghe1"]I'm getting a totally different answer...

Task 1 AND Task 2 = (select 2 out of 6 to work in 2 different positions) AND (select 3 out of 7 to work in the same position)

Task 1: since the positions are different, AB is different from BA, which makes this an arrangement question. 6P2=30.
30 ways to select 2 out of 6 to work in 2 different positions
or different way to think of it, there are 6 ways to fill the first tech position and 5 ways to fill the 2nd tech position. total = 30 ways to fill 2 diff tech positions

Task 2: since it's the same position, ABC is the same as CBA is the same as BAC etc, which makes this a selection question. 7C3=35
35 ways to select 3 out of 7 to work in the same position

Task 1 AND Task 2 = 30*35=1050 : these needs to be added as they are independent circumstances

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2456
Re: A company will select 2 of the 6 candidates available to work in 2 dif  [#permalink]

Show Tags

20 Apr 2018, 21:29
aserghe1 wrote:
I'm getting a totally different answer...

Task 1 AND Task 2 = (select 2 out of 6 to work in 2 different positions) AND (select 3 out of 7 to work in the same position)

Task 1: since the positions are different, AB is different from BA, which makes this an arrangement question. 6P2=30.
30 ways to select 2 out of 6 to work in 2 different positions
or different way to think of it, there are 6 ways to fill the first tech position and 5 ways to fill the 2nd tech position. total = 30 ways to fill 2 diff tech positions

Task 2: since it's the same position, ABC is the same as CBA is the same as BAC etc, which makes this a selection question. 7C3=35
35 ways to select 3 out of 7 to work in the same position

Where's my mistake?

Hey,

There is no mistake in your solution. 1050 is the correct answer.

Regards,
Saquib
Quant Expert
e-GMAT
_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2456
Re: A company will select 2 of the 6 candidates available to work in 2 dif  [#permalink]

Show Tags

23 Apr 2018, 03:59
Hey Everyone,

Official solution to the question has been posted.

Regards,
Ashutosh
_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Re: A company will select 2 of the 6 candidates available to work in 2 dif &nbs [#permalink] 23 Apr 2018, 03:59
Display posts from previous: Sort by