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

It is currently 17 Oct 2019, 21:41

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

Seven different objects must be divided among three people. In how man

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Senior Manager
Senior Manager
avatar
G
Joined: 12 Jan 2019
Posts: 263
Concentration: Strategy, Leadership
Reviews Badge
Seven different objects must be divided among three people. In how man  [#permalink]

Show Tags

New post 12 Jan 2019, 23:30
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

Seven different objects must be divided among three people. In how many ways can this be done
if at least one of them gets exactly 1 object?
(a) 2484
(b) 1218
(c) 729
(d) 625
(e) None of these

Kudos Please

_________________
In case my post helps you, please provide me with kudos. Thank you
Senior Manager
Senior Manager
avatar
G
Joined: 12 Jan 2019
Posts: 263
Concentration: Strategy, Leadership
Reviews Badge
Re: Seven different objects must be divided among three people. In how man  [#permalink]

Show Tags

New post 12 Jan 2019, 23:32
If only one gets 1 object
The remaining can be distributed as: (6,0) , (4, 2), (3, 3).
(7C1 × 6C6 × 3! + 7C1 × 6C4 × 3! + 7C1 × 6C3 × 3!/2!)
= 42 + 630 + 420 + 1092.
If 2 people get 1 object each:
7C1 × 6C1 × 5C5 × 3!/2! = 126.
Thus, a total of 1218.
Kudos Please
_________________
In case my post helps you, please provide me with kudos. Thank you
GMAT Club Bot
Re: Seven different objects must be divided among three people. In how man   [#permalink] 12 Jan 2019, 23:32
Display posts from previous: Sort by

Seven different objects must be divided among three people. In how man

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





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