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

Question

2 years ago

5

be the same color. How many ways are there to color the rectangles?

1 answer:

GenaCL600 [577] · Answer 1 · 2023-09-17T14:27:43+03:00

There are 120 ways to color the 4 rectangles

<h3>How to determine the number of ways?</h3>

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