Question

number ways of painting of a face of a cube by 6 colours​

Answer 1

Answer:

Only one way to paint the cube by 6 colours.

Step-by-step explanation:

There are 6 faces of the cube and there are 6 colours by which it has to be painted.

Hence, 1 colour will 1 face of the cube.

Therefore, there is only one way of painting a face of cube by 6 colours.

Certainly, it will help!

Answer 2

Concept

Cube in mathematics is a regular solid with six square faces.

Given

1) No of colours = 6

Find

Number of ways of painting of a face of a cube

Solution

As we know there are 6 faces in a cube. Each 6 faces of the cube need to be painted.

There are 6 face of the cube and there are 6 colours by which it has to be painted.

Consider a cube

Firstly lets fixed the colour at the top face

So the bottom face can be painted in 5 ways.

Now we are left with the circular arrangement of the remaining colours which can be done in

(4-1)! = 3! = 6

So, the answer is 5*6 = 30

Number of ways of painting of a face of cube is 30.

#SPJ2