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Use five different colors to paint the four rectangles A, B, C and D shown in the figure. No two rectangles sharing an edge can be the same color. How many ways are there to color the rectangles?

Use five different colors to paint the four rectangles A B C and D shown in the figure No two rectangles sharing an edge can be the same color How many ways are class=

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MrRoyal

There are 120 ways to color the 4 rectangles

How to determine the number of ways?

The given parameters are:

Paints, n = 5

Rectangles, = 4

The number of ways to color the rectangles is

[tex]Ways = ^nP_r[/tex]

This gives

[tex]Ways = ^5P_4[/tex]

Apply the permutation formula

[tex]Ways = \frac{5!}{1!}[/tex]

Evaluate the expression

Ways = 120

Hence, there are 120 ways to color the 4 rectangles

Read more about permutation at:

https://brainly.com/question/1216161

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