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How many different flags can be made from 4 colors- Red, Blue, Green, and White such that no color is repeated more than

Expert replies
by M7MBA » Sat Dec 18, 2021 3:54 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

How many different flags can be made from 4 colors- Red, Blue, Green, and White such that no color is repeated more than once?

A. 25
B. 24
C. 48
D. 60
E. 64

Answer: E

Source: e-GMAT
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Source: — Problem Solving |

This question is poorly worded and as written doesn't provide an answer that matches any of the answer choices.

"Repeated" means to occur more than once.

Repeated no more than once could be interpreted as occurring at most twice, but wouldn't be written that way, regardless.

The provided answer matches wording of "no color occurs more than once"

Flag of one color: 4 choices
Flag of two: 4!/2!= 12
Flag of three: 4!/3! * 6=24
Flag of four: 4!=24

Total 64
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