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

 It is currently 04 May 2015, 18:30

### 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

# A boat has a crew of eight; two of those eight can row only

Author Message
TAGS:
Manager
Joined: 20 Mar 2005
Posts: 201
Location: Colombia, South America
Followers: 1

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

A boat has a crew of eight; two of those eight can row only [#permalink]  06 Mar 2006, 17:32
A boat has a crew of eight; two of those eight can row only on the stroke side, while 3 can row only on the bow side. in how many ways can the two sides of the boat be manned?
Director
Joined: 24 Oct 2005
Posts: 576
Location: NYC
Followers: 1

Kudos [?]: 24 [0], given: 0

is it 12..

2 on one side and 3 on the other side.. Number of ways three people can be arranged is 3! and for each arrangement we need to look at two people on the other side. Therefore 3*2*2

It also says there are 8 crew members.. so i dont know where/how to use the rest 3.. is it irrelevant information??
_________________

Success is my only option, failure is not -- Eminem

Manager
Joined: 20 Feb 2006
Posts: 213
Followers: 1

Kudos [?]: 5 [0], given: 0

Is it 288?
2! * 3! * (3! + 3! + 3P2 + 3P2) = 288.
If we knew how many people were there on each side, it would be simpler.
Senior Manager
Joined: 22 Nov 2005
Posts: 479
Followers: 1

Kudos [?]: 3 [0], given: 0

I think you have made a small mistake in calculation.
it should be 3 * 2 * 3! => 3 * 2 * 3*2 = 36

bewakoof wrote:
is it 12..

2 on one side and 3 on the other side.. Number of ways three people can be arranged is 3! and for each arrangement we need to look at two people on the other side. Therefore 3*2*2

It also says there are 8 crew members.. so i dont know where/how to use the rest 3.. is it irrelevant information??
Manager
Joined: 14 Jun 2005
Posts: 100
Followers: 1

Kudos [?]: 5 [0], given: 0

Do we assume that there needs to be 4 on each side? Then only 3 people can be on either side. So 6 ways to arrange the 3 people????

What's the OA?
Intern
Joined: 18 Jan 2006
Posts: 15
Followers: 0

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

Late.
But I'll try.
2 sides of the boat-side 1 and side2
fix 3 people on side 1.
fix 2 people on side 2.
3 people remain.
2 people can go to side 1 in 3P2 = '3' ways
The remaining person can go to side 2 in '1' way only.
after assigning the team on either sides, the 2 sides can be rearranged amongst themselves in '4!' ways on 1 side and '4!' ways on the other side.
So, the total number of ways are
3*1*4!*4! = 1728.

Thanks,
_________________

If I cant win, I'll die flying

Manager
Joined: 20 Mar 2005
Posts: 201
Location: Colombia, South America
Followers: 1

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

sorry I forgot to give the OA before

is 3c2 * (4!)^2

so is 1728 indeed, well done Gmate
Similar topics Replies Last post
Similar
Topics:
7 Minnesota is the only one of the contiguous forty-eight 12 02 Sep 2014, 01:47
Eight people are to be divided into two groups. What is the 9 17 Jul 2007, 08:07
11 Minnesota is the only one of the contiguous forty-eight 37 02 Jul 2007, 22:06
Larry has eight sticks, and the length of each stick is an 4 25 Sep 2006, 23:38
Minnesota is the only one of the contiguous forty-eight 4 19 Mar 2006, 02:50
Display posts from previous: Sort by