A committe of three students has to be formed. There are

Oldest

Best Reply

Author

Message

TAGS:

Senior Manager

Joined: 05 Jun 2005

Posts: 457

Followers: 1

Kudos [?]: 6 [0], given: 0

A committe of three students has to be formed. There are [#permalink]

29 Oct 2006, 23:29

00:00

Question Stats:

0% (00:00) correct

0% (00:00) wrong

based on 0 sessions

A committe of three students has to be formed. There are five students: Jane, Joan, Paul, Stuart and Jessica. If Paul and Stuart refuse to in the committee together and Jane refuses to be in the committe without Paul, how many committee are possible?

1) 3
2) 4
3) 5
4) 6
5) 8

Manager

Joined: 25 Sep 2006

Posts: 155

Followers: 1

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

[#permalink]

30 Oct 2006, 00:04

B

Paul and Stuart mutually exclusive, (<-- did I interpret this right?)

Commitee with Paul
Paul +
{ Jane, Joan, Jess }
The commitee will be without one of them
3 possible combo

Commitee with Stuart
Stuart +
{ Joan, Jess}
Thats it, this is the only possible combo with Stuart

Commitee without both Stuart and Paul
{ Joan, Jess}
No combination of three availble

Answer= 4

Manager

Joined: 01 Jun 2006

Posts: 77

Followers: 1

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

[#permalink]

30 Oct 2006, 00:30

Quote:

Ans: B

First Selection:
If Jane is in the committee, then Paul is also present so we have

Ja:P:_

for the last place we have 2 options (Je and Jo) and one place i.e. 2C1 so for this selection 1*2 = 2 options

Second Selection:

If P is there then we can have Jo, and Jes for the other two locations i.e
P:_: _ so two choice for two locations i.e. 1*2c2 = 1

I have not counted Jane here because then it will be the same as the first selection.

Third Selection:

If stuart is there again then we can Je and Jo, we cant have Paul and Jane. so for this again 1 selection.

So the total are 4 selections.

[#permalink] 30 Oct 2006, 00:30

		Similar topics	Author	Replies	Last post
Similar Topics:		A team of 8 people exists, and they plan to form a committe	lastochka	10	09 Jun 2004, 20:48
		A committe of three people is to be chosen from four married	mahesh004	1	02 Oct 2006, 19:27
		A committee of 3 students has to be formed. The are five	ajay_gmat	7	28 Jul 2007, 12:05
		a 5 member committe is to be formed from a group of 5	pattydread	5	19 Aug 2008, 08:45
	6	A committee of three students has to be formed. There are	scheol79	15	17 Nov 2010, 00:21

A committe of three students has to be formed. There are

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

A committe of three students has to be formed. There are

A committe of three students has to be formed. There are

Main navigation

GMAT Resources

Partners

MBA Resources