Question

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?

Answer 1

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

$Ways = ^nP_r$

This gives

$Ways = ^5P_4$

Apply the permutation formula

$Ways = \frac{5!}{1!}$

Evaluate the expression

Ways = 120

Hence, there are 120 ways to color the 4 rectangles

Read more about permutation at:

brainly.com/question/1216161

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