Can anyone please help me with this?
The crew of an 8 member rowing team is to be chosen from 12 men, of which 3 must row on on side only and 2 must row on the other side only. Find the number of ways of arranging the crew with 4 members on each side.
A)40,320
B)30,240
C)60,480
D)10,080
E)None of These
Permutations / Combinations
This topic has expert replies
-
- Newbie | Next Rank: 10 Posts
- Posts: 1
- Joined: Wed Apr 20, 2011 1:50 pm
GMAT/MBA Expert
- Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
According to the given info, we have already selected 3 persons to row on side 1 and 2 to row on the side 2. So, we need to select 1 person for side 1 and 2 persons for side 2 from 7 persons left.anshul12089 wrote:Can anyone please help me with this?
The crew of an 8 member rowing team is to be chosen from 12 men, of which 3 must row on on side only and 2 must row on the other side only. Find the number of ways of arranging the crew with 4 members on each side.
A)40,320
B)30,240
C)60,480
D)10,080
E)None of These
So, 1 person for side 1 and 2 persons for side 2 can be selected in 7C1 × 6C2 = 7 × (6 × 5)/2 = 105 ways.
Therefore, the number of ways of arranging the crew with 4 members on each side = 105 × 4! × 4! = 60,480
The correct answer is C.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/