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# Each signal that a certain ship can make is comprised of 3

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Manager
Joined: 10 Oct 2008
Posts: 53
Each signal that a certain ship can make is comprised of 3  [#permalink]

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Updated on: 30 Mar 2015, 02:20
5
12
00:00

Difficulty:

5% (low)

Question Stats:

86% (00:56) correct 14% (01:18) wrong based on 300 sessions

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Each signal that a certain ship can make is comprised of 3 different flags hanging vertically in a particular order. How many unique signals can be made by using 4 different flags?

A. 10
B. 12
C. 20
D. 24
E. 36

Originally posted by Jcpenny on 11 Dec 2008, 19:24.
Last edited by Bunuel on 30 Mar 2015, 02:20, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
Manager
Joined: 14 Oct 2008
Posts: 107
Re: Each signal that a certain ship can make is comprised of 3  [#permalink]

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12 Dec 2008, 03:26
4
1
3
I would go for D and for following reasons.

A signal can be made using 3 flags. We have total of 4 , so 3 can be chosen out of 4 in 4C3 = 4C1 = 4 ways

The three flags can be arranged in 3 ! ways to make a unique combination. Hence 4 * 3! = 24 ways.
##### General Discussion
Manager
Joined: 27 May 2008
Posts: 107
Re: Each signal that a certain ship can make is comprised of 3  [#permalink]

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11 Dec 2008, 20:51
D

4!

i guess it should not be so simple .
may be i am wrong.
Intern
Joined: 26 Sep 2008
Posts: 12
Re: Each signal that a certain ship can make is comprised of 3  [#permalink]

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12 Dec 2008, 02:14
2
my ans is D but it's not 4!
let's assume the signal is ABC
so A has 4 cases
B has 3 cases
C has 2 cases
so there are 4x3x2=24
VP
Joined: 17 Jun 2008
Posts: 1033
Re: Each signal that a certain ship can make is comprised of 3  [#permalink]

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13 Dec 2008, 00:55
3
Another way to look at it.

This is a permutation problem and hence answer will be 4P3 = 24.
Senior Manager
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Location: United States (LA)
Re: Each signal that a certain ship can make is comprised of 3  [#permalink]

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15 May 2016, 15:34
1
Consider a flagpole with 3 vertical slots for flags
As we have to select different flags we can do as follows
topmost flag can be paced in 4 ways
middle flag can be placed in 3 ways
bottom most flag can be placed in 2 ways
(order doesn't matter the selection matters)
Total ways = 4 * 3 * 2 = 24 ways
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Re: Each signal that a certain ship can make is comprised of 3  [#permalink]

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01 Jul 2017, 11:56
2
Jcpenny wrote:
Each signal that a certain ship can make is comprised of 3 different flags hanging vertically in a particular order. How many unique signals can be made by using 4 different flags?

A. 10
B. 12
C. 20
D. 24
E. 36

As the order matters:

4 (First Flag) * 3 (Second Flag) * 2 (Third Flag)

24

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Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475
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Re: Each signal that a certain ship can make is comprised of 3  [#permalink]

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15 Jul 2017, 23:19
Can anyone please share any theory topic related to this problem I am not getting it
TIA
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Re: Each signal that a certain ship can make is comprised of 3  [#permalink]

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15 Jul 2017, 23:38
1
Can anyone please share any theory topic related to this problem I am not getting it
TIA

Here you will find all the theory topics explained very well.

https://gmatclub.com/forum/gmat-math-bo ... 30609.html
_________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475
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Re: Each signal that a certain ship can make is comprised of 3  [#permalink]

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16 Jul 2017, 00:24
1
One signal has 3 different flags. No. of unique signals that can be made = 3*2*1 = 6.
No. of ways of choosing 3 flags from 4 flags = 4c3 = 4.

No. of signals that can be made = 24. Ans - D.
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Re: Each signal that a certain ship can make is comprised of 3  [#permalink]

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26 Jul 2018, 16:28
1
Jcpenny wrote:
Each signal that a certain ship can make is comprised of 3 different flags hanging vertically in a particular order. How many unique signals can be made by using 4 different flags?

A. 10
B. 12
C. 20
D. 24
E. 36

The number of unique signals is 4P3 = 4 x 3 x 2 = 24.

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Re: Each signal that a certain ship can make is comprised of 3  [#permalink]

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09 Aug 2019, 17:48
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Re: Each signal that a certain ship can make is comprised of 3   [#permalink] 09 Aug 2019, 17:48
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