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

It is currently 22 Oct 2019, 23:33

Close

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
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.

Close

Request Expert Reply

Confirm Cancel

A company seeks to hire a sales manager, a shipping clerk, and a recep

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58438
A company seeks to hire a sales manager, a shipping clerk, and a recep  [#permalink]

Show Tags

New post 08 Dec 2014, 06:21
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

78% (01:00) correct 22% (01:10) wrong based on 123 sessions

HideShow timer Statistics

Tough and Tricky questions: Combinations.



A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?

A) 7 + 4 + 10
B) 7 × 4 × 10
C) 21 × 20 × 19
D) 7! + 4! + 10!
E) 7! × 4! × 10!

Kudos for a correct solution.

Source: Chili Hot GMAT

_________________
Manager
Manager
avatar
Joined: 04 Oct 2013
Posts: 150
Location: India
GMAT Date: 05-23-2015
GPA: 3.45
GMAT ToolKit User Reviews Badge
Re: A company seeks to hire a sales manager, a shipping clerk, and a recep  [#permalink]

Show Tags

New post 08 Dec 2014, 09:56
1
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?

A) 7 + 4 + 10
B) 7 × 4 × 10
C) 21 × 20 × 19
D) 7! + 4! + 10!
E) 7! × 4! × 10!


Number of ways one person can be hired for the position of Sales Manager= \(C^7_1\)=7

Number of ways one person can be hired for the position of Shipping Clerk= \(C^4_1\)=4

Number of ways one person can be hired for the position of Receptionist= \(C^{10}_1\)=10

Therefore total number of different hiring possible for the three positions = 7 * 4 * 10

Answer: B
Manager
Manager
User avatar
Joined: 21 Feb 2012
Posts: 55
Re: A company seeks to hire a sales manager, a shipping clerk, and a recep  [#permalink]

Show Tags

New post 08 Dec 2014, 10:27
1
7C1 * 4C1 * 10C1 = 7*4*10
_________________
Regards
J

Do consider a Kudos if you find the post useful
Intern
Intern
User avatar
Joined: 08 Jul 2012
Posts: 46
Re: A company seeks to hire a sales manager, a shipping clerk, and a recep  [#permalink]

Show Tags

New post 08 Dec 2014, 22:16
1
1 sales manager can be selected out of 7 in 7 ways
1 clerk can be selected out of 4 in 4 ways
1 receptionist can be selected out of 10 in 10 ways

total no. of ways these 3 can be selected = 7 *4 * 10

Ans. B) 7 × 4 × 10
_________________
Our greatest weakness lies in giving up. The most certain way to succeed is always to try just one more time. - Thomas A. Edison
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58438
Re: A company seeks to hire a sales manager, a shipping clerk, and a recep  [#permalink]

Show Tags

New post 09 Dec 2014, 06:45
Bunuel wrote:

Tough and Tricky questions: Combinations.



A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?

A) 7 + 4 + 10
B) 7 × 4 × 10
C) 21 × 20 × 19
D) 7! + 4! + 10!
E) 7! × 4! × 10!

Kudos for a correct solution.

Source: Chili Hot GMAT


The correct answer is B.
_________________
Retired Moderator
User avatar
P
Joined: 19 Mar 2014
Posts: 921
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
GMAT ToolKit User
Re: A company seeks to hire a sales manager, a shipping clerk, and a recep  [#permalink]

Show Tags

New post 29 Jun 2017, 15:15
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?

\(= 7C1 * 4C1 * 10C1\)

\(= 7 * 4 * 10\)

Hence, Answer is B
_________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475
GMAT Club Bot
Re: A company seeks to hire a sales manager, a shipping clerk, and a recep   [#permalink] 29 Jun 2017, 15:15
Display posts from previous: Sort by

A company seeks to hire a sales manager, a shipping clerk, and a recep

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





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