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

 It is currently 19 Oct 2019, 03:46

### 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

# Company A has 13 employees, 8 of whom belong to the union. If 5 people

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 16 Sep 2010
Posts: 188
Location: United States
Concentration: Finance, Real Estate
GMAT 1: 740 Q48 V42
Company A has 13 employees, 8 of whom belong to the union. If 5 people  [#permalink]

### Show Tags

Updated on: 08 Jul 2015, 01:55
6
00:00

Difficulty:

65% (hard)

Question Stats:

60% (02:22) correct 40% (02:18) wrong based on 116 sessions

### HideShow timer Statistics

Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 4 union members work each shift, then how many different combinations of employees might work any given shift?

(A) 56
(B) 231
(C) 336
(D) 350
(E) 406

Originally posted by u0422811 on 29 Sep 2010, 21:30.
Last edited by Bunuel on 08 Jul 2015, 01:55, edited 1 time in total.
Renamed the topic and edited the question.
Senior Manager
Status: Time to step up the tempo
Joined: 24 Jun 2010
Posts: 328
Location: Milky way
Schools: ISB, Tepper - CMU, Chicago Booth, LSB
Re: Company A has 13 employees, 8 of whom belong to the union. If 5 people  [#permalink]

### Show Tags

29 Sep 2010, 21:48
u0422811 wrote:
Company A is twice the size of its nearest competitor, Company B. Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 4 union members work each shift, then how many different combinations of employees might work any given shift?

(a) 56
(b) 231
(c) 336
(d) 350
(e) 406

Looks easy: -- 8C4*5C1 + 8C5 -- 406 (E).
_________________
Support GMAT Club by putting a GMAT Club badge on your blog
Intern
Joined: 19 Aug 2010
Posts: 8
Re: Company A has 13 employees, 8 of whom belong to the union. If 5 people  [#permalink]

### Show Tags

30 Sep 2010, 02:08
ezhilkumarank wrote:
u0422811 wrote:
Company A is twice the size of its nearest competitor, Company B. Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 4 union members work each shift, then how many different combinations of employees might work any given shift?

(a) 56
(b) 231
(c) 336
(d) 350
(e) 406

Looks easy: -- 8C4*5C1 + 8C5 -- 406 (E).

Could you please explain how you got 8c5.I used this logic...Totally 13 employees out of which 8 are union emp.In order to have atleast 4union employees in any shift.I splitted it as 8c4*5c1(selecting 4 emp from 8 union emp and 1 employee from remaining 5 non-union employees).I got the answer as 350.I didnot understand how you got 8c5.Kindly help me.
Math Expert
Joined: 02 Sep 2009
Posts: 58449
Re: Company A has 13 employees, 8 of whom belong to the union. If 5 people  [#permalink]

### Show Tags

30 Sep 2010, 02:23
aarthis2 wrote:
ezhilkumarank wrote:
u0422811 wrote:
Company A is twice the size of its nearest competitor, Company B. Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 4 union members work each shift, then how many different combinations of employees might work any given shift?

(a) 56
(b) 231
(c) 336
(d) 350
(e) 406

Looks easy: -- 8C4*5C1 + 8C5 -- 406 (E).

Could you please explain how you got 8c5.I used this logic...Totally 13 employees out of which 8 are union emp.In order to have atleast 4union employees in any shift.I splitted it as 8c4*5c1(selecting 4 emp from 8 union emp and 1 employee from remaining 5 non-union employees).I got the answer as 350.I didnot understand how you got 8c5.Kindly help me.

There are total of 13 employees, 8 of whom belong to the union and 5 doesn't. Out of 5 people working a shift at least 4 must belong to the union.

Now, at lest 4 out of 5 means that 4 or all 5 employees must belong to the union:
Out of 5 people working a shift 4 employees belong to the union and 1 doesn't: $$C^4_8*C^1_5=350$$;
Out of 5 people working a shift all 5 employees belong to the union: $$C^5_8=56$$;

Total # of ways: $$350+56=406$$.

Hope it's clear.
_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15281
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Company A has 13 employees, 8 of whom belong to the union. If 5 people  [#permalink]

### Show Tags

07 Jul 2015, 22:52
1
u0422811 wrote:
Company A is twice the size of its nearest competitor, Company B. Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 4 union members work each shift, then how many different combinations of employees might work any given shift?

(a) 56
(b) 231
(c) 336
(d) 350
(e) 406

Hi Bunuel,

The opening sentence to this prompt has absolutely no bearing on the actual question that is asked. I have to assume that it was originally included by accident - since the Official GMAT would not include this type of 'filler', can you remove that initial sentence?

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com

The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Manager
Joined: 24 May 2013
Posts: 76
Company A has 13 employees, 8 of whom belong to the union. If 5 people  [#permalink]

### Show Tags

20 Mar 2016, 08:06
Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 4 union members work each shift, then how many different combinations of employees might work any given shift?

Total combinations= 4 from 8 union * 1 from 5 rest + 5 from 8 union
=8C4*5C1 + 8C5
= 350+56
=406
Hence E
Non-Human User
Joined: 09 Sep 2013
Posts: 13270
Re: Company A has 13 employees, 8 of whom belong to the union. If 5 people  [#permalink]

### Show Tags

02 Apr 2018, 12:00
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Company A has 13 employees, 8 of whom belong to the union. If 5 people   [#permalink] 02 Apr 2018, 12:00
Display posts from previous: Sort by

# Company A has 13 employees, 8 of whom belong to the union. If 5 people

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne