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03 Mar 2021, 07:00
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
55% (02:14) correct
45%
(02:10)
wrong
based on 142
sessions
History
Date
Time
Result
Not Attempted Yet
In how many ways can 8 oarsmen be seated in a eight-oared boat (four rowers on the stroke side and four rowers on the bow side) if 3 can row only on the stroke side and 3 can row only on the bow side ?
A. 48
B. 144
C. 288
D. 576
E. 1152
A. 48
B. 144
C. 288
D. 576
E. 1152
03 Mar 2021, 07:20
Kudos
Bookmarks
3 on the bow side can be arranged in 4P3 ways,
Same is for the other 3 on the other side.
The remaining 2 can be arranged in 2 ways
So total number of arrangements would be
4P3*4P3*2=1152
IMO E
Posted from my mobile device
Same is for the other 3 on the other side.
The remaining 2 can be arranged in 2 ways
So total number of arrangements would be
4P3*4P3*2=1152
IMO E
Posted from my mobile device
03 Mar 2021, 07:24
Kudos
Bookmarks
There are 2 rowers who can sit on either side. They can arrange themselves in 2 ways.
The 4 rowers on the stroke side can be then arranged in 4! ways and those on the bow side can arrange themselves in 4! ways.
Therefore the total number of ways = 2 * 4! * 4! = 2 * 24 * 24 = 1152
Option E
Arun Kumar
The 4 rowers on the stroke side can be then arranged in 4! ways and those on the bow side can arrange themselves in 4! ways.
Therefore the total number of ways = 2 * 4! * 4! = 2 * 24 * 24 = 1152
Option E
Arun Kumar
