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How many different 4 color code stripes can be made on a sports car if each code consists of the colors green, red, blue, and white. all colors are used only once?

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BlueSky06
From the list of colors: green, red, blue, and white, there are four colors. The concept that should be used in order to determine the number of 4-color code stripes that can be drawn in the sports car is the concept of BASIC PRINCIPLE OF COUNTING.

The equations that would best help us in answering the question is,
                         n = 4! (that is, four factorial)
For the first pick, there are four choices. When one is already used then, there are only 3 choices for the second color, and so on until the last color. 
                         n = 4 x 3 x 2 x 1 = 24
Thus, there are 24 types of 4-color codes. 

Answer:

Total number of different [tex]4[/tex] colours code stripes can be made on a sports car is [tex]24[/tex].

Step-by-step explanation:

Given: [tex]4[/tex] colours code stripes can be made on a sports car if each code consists of the colours green, red, blue, and white.

According to question,

Number of different colour code strips made on car calculated as if all colours are used only once is [tex]4![/tex].

[tex]4!=4\times3\times2\times1\\[/tex]

   [tex]\; \; \; =24[/tex]

Therefore, Total number of different [tex]4[/tex] colours code stripes can be made on a sports car is [tex]24[/tex].

Learn more about Permutation here:

https://brainly.com/question/15301090?referrer=searchResults

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