Eight cars are to be parked in a row for viewing at a fair. Three of the cars are the same colour and are to be kept together in the viewing row. Determine the number of possible arrangements of the cars, given that the three cars of the same colour are kept together.

Answers

Answer 1

Answer:

720 possible arrangements.

Step-by-step explanation:

Eight Cars Are To Be Parked In A Row For Viewing At A Fair. Three Of The Cars Are The Same Colour And
Answer 2

The possible arrangement of the cars, given that the three cars of the same color are kept together is 4320.

What is combination?

The combination is a way of selecting items from a collection where the order of selection does not matter.

We have,

Number of cars = 8

Number of cars that are the same in color = 3

Cars that are the same in color can be arranged = 3!

There are 8 cars such that,

1 2 3 4 5 6 7 8

Three cars of the same color are taken out and we have,

1  2  3  4  5

We see that there are six spaces = 6!

where we can put the same color cars together so,

The possible arrangement of the cars, given that the three cars of the same color are kept together:

= 3! x 6!

= 3 x 2 x 1  x 6 x 5 x 4 x 3 x 2 x 1

= 4320

Thus,

The possible arrangement of the cars, given that the three cars of the same color are kept together is 4320.

Learn more about combination here:

brainly.com/question/2970011

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Related Questions

Kevin is tiling his bathroom. The floor is 6-by-5 feet, minus a 2-by-2.5-feet vanity. The tiles he likes are 1-by-1 foot. If he plans to buy 10 percent extra for waste, how many tiles will he need?

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Answer:

try quizlet it would help!! :)

Step-by-step explanation:

if it does help your welcome

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Grade four is the answer

Answer:

It's grade 4! :)

Step-by-step explanation:

Prove angle FGH is congruent to angle HIF.


A.
1) Given
2) Given
3) Reflexive property of congruency
4) SAS
B.
1) Given
2) Reflexive property of congruency
3) Given
4) AAS
C.
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D.
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Answer: someone please answer :(((

Step-by-step explanation:

What is the value of m? help asap​

Answers

Answer:

35

Step-by-step explanation:

It is a 90 degree angle and 90 minus 44 is 35

Help Asap! Use the triangle sum theorem to solve for x in the triangle.

Answers

x+53+90+46 = 180 because the sum of all the interior angles of a triangle are always 180 degrees

x+189 = 180 here this proves that in this problem, x is negative

subtract 189 from both sides

x = -9 and that's your answer! hope this helps!

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Which element has the greatest average atomic mass?
A. iodine
B. bromine
C. tellurium
D. krypton

Answers

Answer:

the answer is option letter c. tellurium

The women's world record for the high jump is 2.09 meters. A puma can jump 2.2 times as high. What
is the height a puma can jump?

Answers

Answer:

4.598 meters

Step-by-step explanation:

........

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Answers

Answer:

(2,5), (2,2), (4,1)

Step-by-step explanation:

ok so the coordinates of the first triangle is

(-4,5), (-4,2), (-2,1)

6 units to the right

(2,5), (2,2), (4,1)

SIMPLIFY THIS EXPRESSION:
2(z + 3) + 3(5 - 3z)

Answers

2z+6+15-9z
-7z+21

Hope this helps

This size running track is usually called a 400-meter track. However, if a person ran as close to the "inside" as possible on the track, they would run less than 400 meters in one lap. How far away (in meters) from the inside border would someone have to run to make one lap equal exactly 400 meters?

Answers

Answer:

They would have to be in the very center of the track

Step-by-step explanation:

Look up how wide each lane of a track is and then times that by 2.5

Need help please!!!!

Answers

Given : A inequality is given to us . The inequality is 19 ≥ t + 18 ≥ 11 .

To Find : The correct option between the given ones . To write the compound inequality with integers .

Solution : The given inequality to us is 19 ≥ t + 18 ≥ 11 . Let's simplify them seperately .

[tex]\red{\tt Case\:1}[/tex]

⇒ 19 ≥ t + 18 .

⇒ t + 18 ≤ 19 .

⇒ t ≤ 19 - 18 .

t 1 = 1 t . ..................(i)

[tex]\red{\tt Case\:2}[/tex]

⇒ t + 18 ≥ 11 .

⇒ t ≥ 11 - 18.

t -7 . ....................(ii)

On combing (i) & (ii) .

[tex]\Large\boxed{\green{\bf \red{\longmapsto} 1 \geqslant t \geqslant -7 }}[/tex]

This means that t is less than or equal to 1 but greater than or equal to (-7) .

a = 11m, b = 8m and C = 2m for the triangle shown below.
Work out the value of x, giving your answer as an exact surd.
The diagram is not drawn accurately

Answers

Answer:

x = [tex]\sqrt{53}[/tex]

Step-by-step explanation:

Using Pythagoras' identity on the upper right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Let the third side be d, then

d² + b² = a² , that is

d² + 8² = 11²

d² + 64 = 121 ( subtract 64 from both sides )

d² = 57

Using Pythagoras' identity on the lower right triangle, then

x² + c² = d²

x² + 2² = 57

x² + 4 = 57 ( subtract 4 from both sides )

x² = 53 ( take the square root of both sides )

x = [tex]\sqrt{53}[/tex]

HELP ME MANN I HATE MATH

Answers

Answer:

$12 a week

Step-by-step explanation:

If he gets paid $168 for 14 weeks, to find 1 week's worth, divide 168 by 14 to get 12.

Answer:

Don't hate math because math is very important in our lives

over the summer, you read 20 books. Eight of these books were biographies

Answers

Answer:

40%

Step-by-step explanation:

[tex]\frac{8}{20}*\frac{100}{1}\\ 8*5=40[/tex]

Help please It would mean a lot

Answers

the answer is 3/5

if that's not right I apologize

Answer:

3/5

Step-by-step explanation:

When dividing fractions, you change the division sign to multiplication and also flip the fraction that you are multiplying with.

So: 2/4 would become 4/2

3/10 x 4/2

12/20

Highest common factor between 12 and 20 is 4.

Divide both sided by 4:

3/5

POSSIBLE POINTS: 4 The length of a rectangle is 4 inches more than the width. The area of the rectangle is 45 in2 Find the length and the width.​

Answers

Answer:

x (x + 4) = 45

x^2 + 4x - 45 = 0

factor

(x + 9)(x - 5) = 0

x = -9 or 5

 

your length cannot be negative so x= 5 and x+4 =9

Step-by-step explanation:

Hope this answer is Wright

x- 0.1x + 2.70 = 56.70 solve for the answer

Answers

Answer:

x=60

Step-by-step explanation:

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Answers

Answer:

5 - 900

4.5 - 810

3 - 540

2.25 - 405

Step-by-step explanation:

5 x 180 = 900

4.5 x 180 = 810

3 x 180 =540

2.25 x 180 = 405

Which expression has a value of 90?

Answers

Can you upload the document please so I can try to assist you

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Answers

Answer:

11.95

i think

Step-by-step explanation:

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Answers

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Geometry
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Answers

Answer:

BC, FG, EH.

Step-by-step explanation:

What is the value of x?
O 78
0 84
o 96
O 102

Answers

Answer:

96°

Explanation

Given problem:

 Find the value of x in the diagram;

Given that lines a and b are parallel lines and transversal c cuts through them;

  the two given angles are said to be equal and alternate angles;

  So;

                99  = x + 3

                     x  = 99  - 3  = 96°

The value of x is 96°

The midpoint of AB is M(0, -3). If the coordinates of A are (2, 1), what are the
coordinates of B?

Answers

Answer:

(-2,-7)

Step-by-step explanation:

Order from least to greatest: 6 squared, -5.25, 3/2 , 5

Answers

Answer:

-5.25, 3/2, 5, 36

Explain why thirteen
hundredths are equivalent to one hundred
thirty thousandths. pls help i’m so dumb

Answers

Answer:

thirteen hundredths=13/100

one hundred thirty thousandths=130/1000

cancelling by 10 this is =13/100

hence the question

Step-by-step explanation:

13/100 is equivalent to 130/1000 because if you simplify 130/1000 it becomes 13/100.

You simplify 130/1000 by dividing both sides by 10. 130 divided by 10 is 13, and 1000 divided by 10 is 100.


Use multiplication to write 2 + 2 + 2 +
2+2.

Answers

2 x 5
2+2+2+2+2= 10
2 x 5= 10

Answer:

5 × 2

Step-by-step explanation:

Multiplication is a simpler way of writing 'adding the same number multiple times'

Here you have added 5 2s together

So the answer is 5 times 2

The science club and the French club both ordered pizzas for their end-of-year banquets. After the banquets, the science club had 1 1/4 pizzas leftover and the French club had 2 5/24 pizzas leftover. Between the two clubs, how many total pizzas were leftover?
A. 23/24

B. 1 1/4

C. 3 1/4

D. 3 11/24

Answers

Answer:

A. 23/24

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Step-by-step explanation:

Answer:

A. 23/24

Step-by-step explanation:

plato users

A Turtle traveled 1/10 mile in 1/2 hour. What was the turtle’s rate in miles per hour?
A.1/20
B.1/12
C.1/6
D.1/5

Answers

1/5

1/10 / 1/2= 2/10
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How do I find all of the angles for this and what equations would I use to find angle 2,3,4,5,7, &8?​

Answers

Answer:

<2 = supplementary angle=180-110=70

<3 = supplementary angle=180-110=70

<4 = opposite angles=110

<5 = 110 (corresponding angle)

<7 = 70 (corresponding to angle 3)

<8 = 110 (corresponding to angle 4)

Step-by-step explanation:

<2 = supplementary angle=180-110=70

<3 = supplementary angle=180-110=70

<4 = opposite angles=110

<5 = 110 (corresponding angle)

<7 = 70 (corresponding to angle 3)

<8 = 110 (corresponding to angle 4)

You don't need to solve for x to find any of those angles.  If you want to anyway:

4x+10=70

4x=70-10

4x=60

x=60÷4

x=15

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