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A pod of 6 dolphins always swims single file, with 3 females

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A pod of 6 dolphins always swims single file, with 3 females  [#permalink]

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New post Updated on: 24 Aug 2014, 04:53
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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

Originally posted by sahil7389 on 24 Aug 2014, 02:17.
Last edited by Bunuel on 24 Aug 2014, 04:53, edited 1 time in total.
Renamed the topic and edited the question.
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Re: A pod of 6 dolphins always swims single file, with 3 females  [#permalink]

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New post 24 Aug 2014, 04:58
2
1
sahil7389 wrote:
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


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.
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Re: A pod of 6 dolphins always swims single file, with 3 females  [#permalink]

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New post 22 Sep 2016, 04:08
Bunuel wrote:
sahil7389 wrote:
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


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.


Why isn't the 3! x 3! divided by 3! x 3!, given that the dolphins Male and Female are 'repeated'?
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Re: A pod of 6 dolphins always swims single file, with 3 females  [#permalink]

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New post 12 Nov 2016, 05:32
sahil7389 wrote:
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


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
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Re: A pod of 6 dolphins always swims single file, with 3 females  [#permalink]

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New post 27 Dec 2018, 22:03
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A pod of 6 dolphins always swims single file, with 3 females &nbs [#permalink] 27 Dec 2018, 22:03
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