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

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Jcpenny
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Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   Updated on: 08 Nov 2023, 07:15
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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

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D

Originally posted by Jcpenny on 11 Dec 2008, 19:24.
Last edited by Bunuel on 08 Nov 2023, 07:15, edited 2 times in total.
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gameCode
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   12 Dec 2008, 03:26
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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.
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selvae
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   11 Dec 2008, 20:51
D

4!

i guess it should not be so simple :-).
may be i am wrong.
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ngotuan
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   12 Dec 2008, 02:14
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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
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   13 Dec 2008, 00:55
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Another way to look at it.

This is a permutation problem and hence answer will be 4P3 = 24.
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   15 May 2016, 15:34
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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
correct answer - D
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   01 Jul 2017, 11:56
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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

Hence, Answer is D
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   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 different [#permalink] New post   15 Jul 2017, 23:38
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Business Analyst wrote:
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
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   16 Jul 2017, 00:24
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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 different [#permalink] New post   26 Jul 2018, 16:28
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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.

Answer: D
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   26 Aug 2020, 08:40
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Flags available : 4
Signal has: 3 flags

For first flag: 4 choices.
Second flag:3 choices
Third flag: 2 choices

Overall: 4 * 3 * 2 = 24 ways

Answer D
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   13 Sep 2020, 10:37
A (n,m) = n!/ (n-m)!
A (4, 3) = 4!/ (4-3) ! = 4! = 24
Answer is D
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   01 Feb 2021, 14:39
Combinations + Permutations.

4C3 x 3! = 4 x 6 = 24.

Answer is D.
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink] New post   02 Apr 2024, 03:19
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Re: Each signal that a certain ship can make is comprised of 3 different [#permalink]
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