Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
14 Jan 2009, 06:50
Kudos
Bookmarks
find the no. of ways of selecting a comittee of 5 from 4 man and 4
women.the commitee consist of one president one vice president and 3
secretaries. the comitee shud have at the max 2 women and having at the
max one woman holding one of the two posts on the committee.
plz clearly elaborate the answer
women.the commitee consist of one president one vice president and 3
secretaries. the comitee shud have at the max 2 women and having at the
max one woman holding one of the two posts on the committee.
plz clearly elaborate the answer
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
14 Jan 2009, 11:14
Kudos
Bookmarks
Either am way off on this or this is the right answer and there HAS to be a shorter way.
Scenario 1: 4 men and 1 woman secretary.
President can be selected in 4C1 ways; VP can be selected in 3C1 ways; 1 woman Secretary in 4C1 ways and the remaining two secretaries in 2C2 ways.
=4*3*4*1=48
Scenario 2: 3 men and 2 women secretaries.
President can be selected in 4C1 ways; VP can be selected in 3C1 ways; 2 woman Secretaries in 4C2 ways and the remaining secretary in 2C1 ways.
=4*3*6*2=144
Scenario 3: 1 woman President, 1 male VP, 2 male secretaries and 1 woman secretary
President can be selected in 4C1 ways; VP can be selected in 4C1 ways; 1 woman Secretary in 3C1 ways and the two male secretaries in 3C2 ways.
=4*4*3*3=144
Scenario 4: 1 male President, 1 woman VP, 2 male secretaries and 1 woman secretary
President can be selected in 4C1 ways; VP can be selected in 4C1 ways; 1 woman Secretary in 3C1 ways and the two male secretaries in 3C2 ways.
=4*4*3*3=144
Total number of ways is the sum of all scenarios:
48+144+144+144
=480
Scenario 1: 4 men and 1 woman secretary.
President can be selected in 4C1 ways; VP can be selected in 3C1 ways; 1 woman Secretary in 4C1 ways and the remaining two secretaries in 2C2 ways.
=4*3*4*1=48
Scenario 2: 3 men and 2 women secretaries.
President can be selected in 4C1 ways; VP can be selected in 3C1 ways; 2 woman Secretaries in 4C2 ways and the remaining secretary in 2C1 ways.
=4*3*6*2=144
Scenario 3: 1 woman President, 1 male VP, 2 male secretaries and 1 woman secretary
President can be selected in 4C1 ways; VP can be selected in 4C1 ways; 1 woman Secretary in 3C1 ways and the two male secretaries in 3C2 ways.
=4*4*3*3=144
Scenario 4: 1 male President, 1 woman VP, 2 male secretaries and 1 woman secretary
President can be selected in 4C1 ways; VP can be selected in 4C1 ways; 1 woman Secretary in 3C1 ways and the two male secretaries in 3C2 ways.
=4*4*3*3=144
Total number of ways is the sum of all scenarios:
48+144+144+144
=480
14 Jan 2009, 11:25
Kudos
Bookmarks
My Ans: 256 ways.
(ways to find 2 men for chairs)*(ways for 2M1W + ways for 2M2W) + (ways to find 1m1W for chairs)*(ways for 3M + ways for 2M1W)
i.e.
4C2*(2C2*4C1 + 2C2*4C2) + 4C1*4C1*(3C3 + 3C2*3C1) = 256.
Whais is the OA?
(ways to find 2 men for chairs)*(ways for 2M1W + ways for 2M2W) + (ways to find 1m1W for chairs)*(ways for 3M + ways for 2M1W)
i.e.
4C2*(2C2*4C1 + 2C2*4C2) + 4C1*4C1*(3C3 + 3C2*3C1) = 256.
Whais is the OA?
