Solutions
Get detailed explanations to advanced GMAT questions.
Question
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?
Option A:
10
Option B:
12
Option C:
20
Option D:
24
Option E:
36
Difficulty Level
MediumSolution
Option D is the correct answer.
Option Analysis
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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