Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 07 Jul 2015, 07:45

### 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 June
Open Detailed Calendar

# Q5: From a group of 3 boys and 3 girls, 4 children are to

Author Message
TAGS:
Manager
Joined: 11 Jan 2007
Posts: 201
Location: Bangkok
Followers: 1

Kudos [?]: 16 [0], given: 0

Q5: From a group of 3 boys and 3 girls, 4 children are to [#permalink]  08 Jun 2007, 08:11
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:01) correct 0% (00:00) wrong based on 1 sessions
Q5:
From a group of 3 boys and 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected?

A. 1/10
B. 4/9
C. 1/2
D. 3/5
E. 2/3

Q6:
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?

A. 5
B. 6
C. 7
D. 8
E. 9
_________________

cool

Director
Joined: 12 Jun 2006
Posts: 532
Followers: 1

Kudos [?]: 35 [0], given: 1

5)
6c4=15 total ways to select boys and girls
3c2 = 3 ways to select 2 boys and 3c2 = 3 ways to select 2 girls
3*3 = 9 ways to select 3 boys and 3 girls
9/15 = 3/5

6)
I wrote each option out:
office a - all 3 emplooyees, 2 employees or 1 employee. there are 3 options here. office b can also have each of the same arrangments. 3*2 = 6
Director
Joined: 13 Mar 2007
Posts: 545
Schools: MIT Sloan
Followers: 4

Kudos [?]: 28 [0], given: 0

ggarr wrote:
5)
6c4=15 total ways to select boys and girls
3c2 = 3 ways to select 2 boys and 3c2 = 3 ways to select 2 girls
3*3 = 9 ways to select 3 boys and 3 girls
9/15 = 3/5

6)
I wrote each option out:
office a - all 3 emplooyees, 2 employees or 1 employee. there are 3 options here. office b can also have each of the same arrangments. 3*2 = 6

Office can also be empty hence answer = 8 !

Also, can someone point out the method to solve this problem in a more systematic way than counting ?

say the q was .. to place 1000 employees in 20 offices !
CEO
Joined: 17 May 2007
Posts: 2994
Followers: 59

Kudos [?]: 483 [0], given: 210

Agree with 3/5 on Q1

I think that answer to question 2 is 7 (Option C).

Way to arrange 3 employees in 2 offices = 3C2 = 3
Way to arrange 3 employees in 1 office = 3C1 = 3
Way in which both offices are empty = 1 so 3+3+1 = 7 ?
Similar topics Replies Last post
Similar
Topics:
1 3 boys and 3 girls 9 19 Aug 2011, 22:59
34 The ratio of boys to girls in Class A is 3 to 4. The ratio 29 03 Apr 2010, 11:57
5 From a group of 3 boys and 3 girls, 4 children are to be 17 22 Jan 2010, 23:42
7 From a group of 3 boys and 3 girls, 4 children are to be ran 10 19 Aug 2009, 08:24
From a group of 3 boys and 3 girls, 4 children are to be 7 29 Apr 2006, 20:46
Display posts from previous: Sort by