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How many different flags can be made from4 colors- Red, Blue, Green, and White such that no color is repeated more than

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How many different flags can be made from4 colors- Red, Blue, Green, and White such that no color is repeated more than

by M7MBA » Sun Dec 27, 2020 3:12 pm

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How many different flags can be made from4 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

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Re: How many different flags can be made from4 colors- Red, Blue, Green, and White such that no color is repeated more t

by Scott@TargetTestPrep » Mon Mar 22, 2021 8:38 am
M7MBA wrote: ↑
Sun Dec 27, 2020 3:12 pm
 How many different flags can be made from4 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

Solution:

The number of flags that can be made using 1 color only is 4P1 = 4.

The number of flags that can be made using exactly 2 colors is 4P2 = 4 x 3 = 12.

The number of flags that can be made using exactly 3 colors is 4P3 = 4 x 3 x 2 = 24.

The number of flags that can be made using all 4 colors is 4P4 = 4 x 3 x 2 x 1 = 24.

Therefore, the total number of flags that can be made is 4 + 12 + 24 + 24 = 64.

Answer: E

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