$MathMaster logo$

MathMaster

Home
general
khaled has a cube in his hand and takes it to a painter who has 6 different colors he asks the painter to color the cube s

Question

Khaled has a cube in his hand and takes it to a painter who has 6 different colors. He asks the painter to color the cube so that each face has a different color. In how many ways can this be done?

192

likes

962 views

Answer to a math question Khaled has a cube in his hand and takes it to a painter who has 6 different colors. He asks the painter to color the cube so that each face has a different color. In how many ways can this be done?

$Expert avatar$

4.9

114 Answers

1. Calculate the total number of permutations of the 6 colors:

6! = 720

2. Account for the rotational symmetries of the cube (24):

\frac{720}{24} = 30

The final answer: 30 ways to paint the cube with each face a different color considering the cube's rotational symmetries.

Frequently asked questions (FAQs)

What is the formula for the Pythagorean Theorem?

+

What is the value of 3 raised to the power of 4, divided by the cube root of 64?

+

Question: What is the Pythagorean theorem and how is it used in solving right triangles?

+

New questions in Mathematics

calculate the derivative by the limit definition: f(x) = 6x^3 + 2

1. Suppose we have a good whose quantity supplied changed from 100 to 120 units when the price increased from $10 to $12 per unit. Compute the price elasticity of supply using the midpoint method

An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?

Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?

Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?

4x + 8y = 5 2x + 4y = 10

In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24

A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall

A function is considered exponential when it has a base with positive values greater than zero and different from one, where the exponent is an unknown. An important characteristic of exponential functions is that they show rapid growth or decay as an independent variable increases or decreases. Given the function 25^(x+3)=125, it is calculated that x has the value of

9 x² + 2x + 1 = 0

Show work on 4108 divided by 4

For what values of m is point P (m, 1 - 2m) in the 2⁰ quadrant?

How many cards do you expect to pull from a poker deck until you get an ACE?

Gender and communication : Answer the question ( 1 paragraph is ok) . Please can you write about women? Compared to your other identities, how much of a role does gender play in your life? And has your own sex/gender offered you privileges or disadvantages? How so?

Let I be an interval and let f : I → R be a continuous function such that f(I) ⊂ Q. Show (in symbols) that f is constant.