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

 It is currently 19 Sep 2018, 21:59

### 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

# 1)7 different objects must be divided among 3 people.In how

Author Message
Intern
Joined: 22 Jun 2004
Posts: 2
1)7 different objects must be divided among 3 people.In how  [#permalink]

### Show Tags

24 Jun 2004, 11:07
2
(1)7 different objects must be divided among 3 people.In how many ways can this be done if one or tow of them can get no objects?
(a)15120 (b)2187 (c)3003 (d)792

(2)7 different objects must be divided among 3 people.In how many ways can this be done if at least one out of them must get no objects?
(a)381 (b)36 (c)84 (d)174

(3)7 different objects must be divided among 3 people.In how many ways can this be done if at least one of them gets exactly one object?
(a)2484 (b)1176 (c)729 (d)None of these

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
CEO
Joined: 15 Aug 2003
Posts: 3408

### Show Tags

25 Jun 2004, 00:12
hello wannabe

welcome to gmatclub. you will have a better response if you post one question per thread.
Manager
Joined: 07 May 2004
Posts: 182
Location: Ukraine, Russia(part-time)

### Show Tags

25 Jun 2004, 00:50
wanna_mba_2005 wrote:
(1)7 different objects must be divided among 3 people.In how many ways can this be done if one or tow of them can get no objects?
(a)15120 (b)2187 (c)3003 (d)792

(2)7 different objects must be divided among 3 people.In how many ways can this be done if at least one out of them must get no objects?
(a)381 (b)36 (c)84 (d)174

(3)7 different objects must be divided among 3 people.In how many ways can this be done if at least one of them gets exactly one object?
(a)2484 (b)1176 (c)729 (d)None of these

1. In 3^7 = 2187 ways, because each object can go to 3 different people, and by the rule of multiplying we get 3*3*...*3 = 3^7 ways.

2. If first has no objects, then 2^7. => 3*2^7 - (common cases, when at least 2 get no objects, there are 3 such cases) = 128*3 - 3 = 381.
Manager
Joined: 07 May 2004
Posts: 182
Location: Ukraine, Russia(part-time)

### Show Tags

25 Jun 2004, 00:58
wanna_mba_2005 wrote:
(3)7 different objects must be divided among 3 people.In how many ways can this be done if at least one of them gets exactly one object?
(a)2484 (b)1176 (c)729 (d)None of these

# of combs where all three get exactly 1 object is 0.

# of combs where 2 get exactly 1 object is 3*2*C[2,7].

# of combs where 1 gets exactly 1 object is 3*7*(2^6 - 6).

=> total # = 6*7*6/2 + 3*7*58 = 7*(18 + 174) = 192*7 = 1344.

None of the answers... Maybe it is reasonable to notice that 7 should divide the answer. 2484 does not satisfy, 729 either. But 1176 = 24*(50-1) :: 7...
Intern
Joined: 22 Jun 2004
Posts: 2

### Show Tags

25 Jun 2004, 11:05
Thanks to all of you for solving the problems.The third one still continues to nag me.The official answer happens to be (b) and I am clueless...just one of those things you can sleep over!
Intern
Joined: 07 Oct 2014
Posts: 9
Re: 1)7 different objects must be divided among 3 people.In how  [#permalink]

### Show Tags

15 Nov 2014, 14:00

"One or two of them can get no objects" means objects can be distributed in any way, that is the first person can either get an object or not, the 2nd person can either get an object or not, and the 3rd person can either get an object or not. The task is the same as if we were simply asked t calculate the number of ways in which 3 objects can be distributed among 7 people and each person should not necessarily get an object.

Thus, the number of ways is 3^7=2187
Non-Human User
Joined: 09 Sep 2013
Posts: 8096
Re: 1)7 different objects must be divided among 3 people.In how  [#permalink]

### Show Tags

02 Jul 2018, 10:08
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: 1)7 different objects must be divided among 3 people.In how &nbs [#permalink] 02 Jul 2018, 10:08
Display posts from previous: Sort by

# 1)7 different objects must be divided among 3 people.In how

Moderator: chetan2u

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.