BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

P&C !!!1

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 829
Joined: Mon Jul 07, 2008 10:09 pmFollowed by: 3 members
Location: INDIA
Thanked: 84 times
by sudhir3127 » Thu Aug 28, 2008 3:08 am
A boats crew consists of 8 men . 3 of whom can only row on one side and 2 only on the other, Find the number of ways in which the crew can be arranged...

Answers after few discussions.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Legendary Member
Posts: 661
Joined: Tue Jul 08, 2008 12:58 pm
Location: France
Thanked: 48 times

by pepeprepa » Thu Aug 28, 2008 3:53 am
My answer is 10
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 829
Joined: Mon Jul 07, 2008 10:09 pmFollowed by: 3 members
Location: INDIA
Thanked: 84 times

Re: P&C !!!1

by sudhir3127 » Thu Aug 28, 2008 4:13 am
sudhir3127 wrote:A boats crew consists of 8 men . 3 of whom can only row on one side and 2 only on the other, Find the number of ways in which the crew can be arranged...

Answers after few discussions.
here are the Answer choices

a.8!/6!*5!
b.8!/2!3!
c.3(4!)*(4!)
d.4!/3!*2!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 229
Joined: Thu Nov 08, 2007 3:47 pm
Thanked: 14 times
GMAT Score:750

by LSB » Thu Aug 28, 2008 4:57 am
I would say the answer is C

You can arrange each side using 4!

But you have 3 guys that are flexible and can sub anywhere.

So 3*4!*4!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 36
Joined: Tue Oct 02, 2007 10:25 am
Thanked: 2 times

by dalwow » Fri Aug 29, 2008 9:11 am
I don't think the answer is exactly any of those listed. I think if B had 2!3!3! in the denominator than it would be correct.

On one side you have 3! ways the 3 men can be arranged and on the other side you have 2! ways the 2 men can be arranged. You have 3 more places that can be arranged 3! ways.

So, I think the answer is

8!/2!3!3! = 60 ways.
Still Learning
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 258
Joined: Thu Mar 29, 2007 3:15 amFollowed by: 1 member
Thanked: 7 times

Re: P&C !!!1

by anju » Fri Aug 29, 2008 9:43 pm
sudhir3127 wrote:
sudhir3127 wrote:A boats crew consists of 8 men . 3 of whom can only row on one side and 2 only on the other, Find the number of ways in which the crew can be arranged...

Answers after few discussions.
here are the Answer choices

a.8!/6!*5!
b.8!/2!3!
c.3(4!)*(4!)
d.4!/3!*2!
What is the 5th option?
My answer is 9 * 4! * 4!
Explanation:
There are 8 men say A B C D E F G H
On 1 side 2 men has to be seated along with 2 other (from the pool of 3 men who can row both sides)
Let A & B be 2 men who can row on 1 side
Let F, G & H be 3 men who can row on the second side
and let C, D n E be 3 men who can row both sides
so the anagram is for 1 side is (with 2 men on one side)
1 2 3 4
A B C D - 4! ways can be seated
A B C E - 4! ways can be seated
A B D E - 4! ways can be seated
so for 1 side 3*4!

Let's look at the anagram for the second side:
so the anagram is for 2 side is (with 3 men on one side)
5 6 7 8
F G H E - 4! ways can be seated
F G H D - 4! ways can be seated
F G H C - 4! ways can be seated
so for 2 side 3*4!

In all there are 1 side * 2 side arrangements so 3 * 4! * 3 * 4! = 9 * 4! * 4!

I am not sure if this approach is correct. What's the OA?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 986
Joined: Wed Dec 20, 2006 11:07 amFollowed by: 1 member
Location: India
Thanked: 51 times

by gabriel » Sat Aug 30, 2008 10:23 am
LSB wrote:I would say the answer is C

You can arrange each side using 4!

But you have 3 guys that are flexible and can sub anywhere.

So 3*4!*4!
I agree with this answer. But why is it that we are assuming that there should be 4 people on each side, the question says nothing of that sort. I have a feeling that the question has not been worded properly.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 229
Joined: Thu Nov 08, 2007 3:47 pm
Thanked: 14 times
GMAT Score:750

by LSB » Sat Aug 30, 2008 10:26 am
good point
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 986
Joined: Wed Dec 20, 2006 11:07 amFollowed by: 1 member
Location: India
Thanked: 51 times

Re: P&C !!!1

by gabriel » Sat Aug 30, 2008 10:27 am
anju wrote:
sudhir3127 wrote:
sudhir3127 wrote:A boats crew consists of 8 men . 3 of whom can only row on one side and 2 only on the other, Find the number of ways in which the crew can be arranged...

Answers after few discussions.
here are the Answer choices

a.8!/6!*5!
b.8!/2!3!
c.3(4!)*(4!)
d.4!/3!*2!
What is the 5th option?
My answer is 9 * 4! * 4!
Explanation:
There are 8 men say A B C D E F G H
On 1 side 2 men has to be seated along with 2 other (from the pool of 3 men who can row both sides)
Let A & B be 2 men who can row on 1 side
Let F, G & H be 3 men who can row on the second side
and let C, D n E be 3 men who can row both sides
so the anagram is for 1 side is (with 2 men on one side)
1 2 3 4
A B C D - 4! ways can be seated
A B C E - 4! ways can be seated
A B D E - 4! ways can be seated
so for 1 side 3*4!

Let's look at the anagram for the second side:
so the anagram is for 2 side is (with 3 men on one side)
5 6 7 8
F G H E - 4! ways can be seated
F G H D - 4! ways can be seated
F G H C - 4! ways can be seated
so for 2 side 3*4!

In all there are 1 side * 2 side arrangements so 3 * 4! * 3 * 4! = 9 * 4! * 4!

I am not sure if this approach is correct. What's the OA?
Anju there is a mistake in your solution. Some of the combinations wont work and hence you are over counting. For example the combination of ABCD (The first combination in the first category) and FGHC (The last combination in the second category) is not possible because C cant be on both the sides.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 258
Joined: Thu Mar 29, 2007 3:15 amFollowed by: 1 member
Thanked: 7 times

Re: P&C !!!1

by anju » Sat Aug 30, 2008 12:53 pm
gabriel wrote:
anju wrote:
sudhir3127 wrote:
sudhir3127 wrote:A boats crew consists of 8 men . 3 of whom can only row on one side and 2 only on the other, Find the number of ways in which the crew can be arranged...

Answers after few discussions.
here are the Answer choices

a.8!/6!*5!
b.8!/2!3!
c.3(4!)*(4!)
d.4!/3!*2!
What is the 5th option?
My answer is 9 * 4! * 4!
Explanation:
There are 8 men say A B C D E F G H
On 1 side 2 men has to be seated along with 2 other (from the pool of 3 men who can row both sides)
Let A & B be 2 men who can row on 1 side
Let F, G & H be 3 men who can row on the second side
and let C, D n E be 3 men who can row both sides
so the anagram is for 1 side is (with 2 men on one side)
1 2 3 4
A B C D - 4! ways can be seated
A B C E - 4! ways can be seated
A B D E - 4! ways can be seated
so for 1 side 3*4!

Let's look at the anagram for the second side:
so the anagram is for 2 side is (with 3 men on one side)
5 6 7 8
F G H E - 4! ways can be seated
F G H D - 4! ways can be seated
F G H C - 4! ways can be seated
so for 2 side 3*4!

In all there are 1 side * 2 side arrangements so 3 * 4! * 3 * 4! = 9 * 4! * 4!

I am not sure if this approach is correct. What's the OA?
Anju there is a mistake in your solution. Some of the combinations wont work and hence you are over counting. For example the combination of ABCD (The first combination in the first category) and FGHC (The last combination in the second category) is not possible because C cant be on both the sides.
Thanks for pointing it out gabriel. After some thoughts, I guess it should be
4!*4! which is ABCD combination * FGHE combination +
4!*4! which is ABCE combination * FGHG combination +
4!*4! which is ABDE combination * FGHC combination which is equivalent to
3*4!*4!

I am sure there would be a better way to solve this question? Any thoughts?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 829
Joined: Mon Jul 07, 2008 10:09 pmFollowed by: 3 members
Location: INDIA
Thanked: 84 times

Re: P&C !!!1

by sudhir3127 » Sat Aug 30, 2008 1:21 pm
sudhir3127 wrote:A boats crew consists of 8 men . 3 of whom can only row on one side and 2 only on the other, Find the number of ways in which the crew can be arranged...

Answers after few discussions.
the OA is c.

LSB has done in the best and shortest way .

ur right anju... its 3*4!*4!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 891
Joined: Sat Aug 16, 2008 4:21 amFollowed by: 1 member
Thanked: 27 times
GMAT Score:660(

by 4meonly » Mon Sep 01, 2008 7:55 am
gabriel wrote: I have a feeling that the question has not been worded properly.
agree
I began to count all possibilities - when there are 1 man on each side, 2 men on each side, so on...
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1