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

It is currently 18 Jun 2018, 15:37

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

How many different subcommittees can be formed among the six members

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46129
How many different subcommittees can be formed among the six members [#permalink]

Show Tags

New post 31 Jan 2017, 10:10
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

76% (00:42) correct 24% (00:43) wrong based on 178 sessions

HideShow timer Statistics

How many different subcommittees can be formed among the six members of the housing committee?

(1) All subcommittees must have at least two members.
(2) Any combination of members is acceptable except those with 1 member.

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Intern
Intern
avatar
B
Joined: 18 Oct 2016
Posts: 4
Location: Italy
Concentration: Economics, Finance
GMAT 1: 550 Q42 V24
GPA: 3.5
Re: How many different subcommittees can be formed among the six members [#permalink]

Show Tags

New post 31 Jan 2017, 10:32
1
Statements 1 and 2 give the same information, hence the possible answers are D or E.

Let's use complement strategy: P(A)= 1 - P(NOT A).

Wrong possibilities--> subcommitties with only 1 member--> 6 members--> 6 possible subcommitties.

Total possible subcommitties: 6! = 720.

P(A) = 720 - 6 = 714.

Answer D
1 KUDOS received
Intern
Intern
avatar
Joined: 17 Apr 2017
Posts: 4
Re: How many different subcommittees can be formed among the six members [#permalink]

Show Tags

New post 23 Apr 2017, 05:42
1
Total number of ways of forming :

3 committees of 2 members each = 6C2 x 4C2 = 90
2 committees of 3 members each = 6C3 = 20
2 committees of 4 and 2 members = 6C4 = 15

Total number of ways = 125
Re: How many different subcommittees can be formed among the six members   [#permalink] 23 Apr 2017, 05:42
Display posts from previous: Sort by

How many different subcommittees can be formed among the six members

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


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.