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B
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Difficulty:
5%
(low)
Question Stats:
81% (00:46) correct
19%
(01:04)
wrong
based on 605
sessions
History
Date
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A pod of 6 dolphins always swims single file, with 3 females at the front and 3 males in the rear. In how many different arrangements can the dolphins swim?
A. 20
B. 36
C. 40
D. 18
E. 54
A. 20
B. 36
C. 40
D. 18
E. 54
24 Aug 2014, 05:58
Kudos
Bookmarks
sahil7389
3 females at the front can be arranged in 3! ways;
3 males at the rear can also be arranged in 3! ways.
To get the total number of arrangements multiply: total = 3!*3! = 36.
Answer: B.
12 Nov 2016, 06:32
Kudos
Bookmarks
sahil7389
We are given that a pod of 6 dolphins always swims single file, with 3 females at the front and 3 males in the rear. Thus:
The number of ways to arrange the 3 female dolphins in the front is 3! = 3 x 2 x 1 = 6.
The number of ways to arrange the 3 male dolphins is in the rear is 3! = 3 x 2 x 1 = 6.
Thus, the number of ways to arrange all the dolphins is 6 x 6 = 36 ways.
Answer: B
