$MathMaster logo$

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 are the vertices of a hyperbola given its equation as (x^2/16) - (y^2/9) = 1?

+

Math question: What is the probability of rolling a sum of 7 on two fair dice?

+

What is the value of x if triangle ABC is congruent to triangle DEF and angles A, B, and C are each equal to their corresponding angles D, E, and F?

+

New questions in Mathematics

How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?

If L = (-2, -5) is reflected across y= -4 , what are the coordinates of L?

A, B, C and D are numbers; If ABCD = 23, What is the result of ABCD BCDA CDAB DABC operation?

In a store there are packets of chocolate, strawberry, tutti-frutti, lemon, grape and banana sweets. If a person needs to choose 4 flavors of candy from those available, how many ways can they make that choice?

Suppose SAT reading scores are normally distributed with a mean of 496 and a standard deviation of 109. The University plans towards scholarships for students who scores are in the top 7%. What is the minimum score required for the scholarship round your answer to the nearest whole number.

Divide 22 by 5 solve it by array and an area model

logy/logx + logz/logy + logt/logz = 8x².t x=?

Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6

Two business partners have a bank balance of $17,942.00. After the first year their interest brings their balance to $18,928.91. What rate of interest is earned?

What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.

In a laboratory test, it was found that a certain culture of bacteria develops in a favorable environment, doubling its population every 2 hours. The test started with a population of 100 bacteria. After six hours, it is estimated that the number of bacteria will be:

Congratulations, you have saved well and are ready to begin your retirement. If you have $1,750,000.00 saved for your retirement and want it to last for 40 years, and will earn 10.8% compounded monthly: What is the amount of the monthly distribuion? 216.50 How much interest is earned in retirement?

When Sara was 15 years old, an uncle left her as inheritanceà a sum of 10,000 euros which he invested in a bank that applies the interest rate of 2,5% annual. Today Sara is 18 years and wants to buy a'car, how much she can ò withdraw from the bank?

The grading on a $159,775 house comes to $3974.75. What percent of the total cost is this? (Express your answer to the nearest hundredth percent.)

Derivative of 2x

Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.

f(r) = 1/r+9 find f(x^2) + 1

In an experiment to assess the effect of listening to audiobooks while driving, participants were asked to drive down a straight road in a driving simulator. The accompanying data on time (in milliseconds) to react when a pedestrian walked into the street for 10 drivers listening to an audiobook are consistent with summary statistics and graphs that appeared in the paper "Good Distractions: Testing the Effect of Listening to an Audiobook on Driving Performance in Simple and Complex Road Environments."† (Round your answers to four decimal places.) 1,018 1,007 1,054 988 937 1,030 1,065 1,011 860 1,106 A button hyperlink to the SALT program that reads: Use SALT. Calculate the variance for this data set. 7437.7333 Incorrect: Your answer is incorrect. Calculate the standard deviation for this data set. 86.2022 Incorrect: Your answer is incorrect.