Mathematics High School

COMBINATION
Solve each problem using the appropriate permutation formula.
1.In how many ways can 3 boys and 6 girls sit in a row of 4 chairs?
2.In how many ways can 8 cars line up a car?
3.In how many ways can a group of 8 friends sit around a circular table?
plss help​

Answers

Answer 1

Answer:

1) 3024 ways

2) 40320 ways

3) 5040 ways

Step-by-step explanation:

1) there are 3 boys and 6 girls. Thus, total number = 9 people.

There are four rows of chairs.

Thus, number of ways of being sitted is;

9P4 = 9!/(9 - 4)! = 3024 ways

2) number of ways = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways

3) since circular arrangement, then number of ways is; (n - 1)!

Thus,answer is; (8 - 1)! = 5040 ways

Related Questions

un bebe tiene 26.000.000.000 celulas. un adulto tiene cerca de 4.94×10¹³ celulas ¿ cuantas celulas mas tiene un adulto que un recien nacido? escribe la respuesta en notacion cientifica​

Answers

el adulto tiene 13 células más que el bebe

What is the slope-intercept equation for the
graph shown below?

A. y = 1/2x - 1
B. y = -1/2x - 1
C. y = -1/2 + 1
D. y = 2x - 1

Answers

It’s A because the slope is 1/2


Please help me -5x-3y=16 y=x

Answers

Answer:

the answer is x=2 and y=2

Step-by-step explanation:

-3y=16+5x

-y=(16+5x)3

Simplify the following expression 2n+6+4y-8

Answers

2n + 4y -2. The only thing we can do is combine 6 and -8.

Which algebraic expression represents the phrase "fourteen increased by a number"? 14 + y 14y StartFraction 14 over y EndFraction 14 minus y

Answers

the answer is 14 + y

The algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y. which is the correct answer that would be an option (A).

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The given statement is "fourteen increased by a number"

According to the given question, translate the phrase into an algebraic expression:

⇒ 14 + y

This is because the phrase "increased by" means to add a certain number to 14.

The variable y represents the number that is being added to 14.

Thus, the algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y.

Hence, the correct answer would be option (A).

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

what is the area of a rectangle when the two sides are 4200 and 4500 in meters squared

Answers

Answer                                                                                                                           17400

Step-by-step explanation:

Answer:

A=1.89×10 7 (7 as the exponent)

Explanation:

SYMBOL THAT INDICATES THE ROOT OF THE NUMBER

Answers

Answer:

The root symbol (√ ) is used to represent the square root of any number.

Answer:

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

Square Root

A store has apples on sale for $21.00 for 6 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $126.00? Complete the explanation.

Answers

Answer:

115 apples

Step-by-step explanation:

6 pounds of apple = $21.00

Cost per pound :

$21.00 / 6 = $3.5 per Pound

1 pound = 16 ounces

16 ounces cost $3.5

1 ounce = $3.5 / 16 = $0.21875

5 ounces will cost :

5 * 0.21875 = $1.09375

Number of 5 ounce apple that can be purchased with $126

$126 / $1.09375

= 115.2

Approximately 115 apples

John's high score on the Asteroid Game was 984. Mikes high score was 1,112. Rebecca just played the game and her high score was halfway between John's and Mikes. What was Rebecca's score?

Answers

Hello the answer would be 1048

Add the two numbers up:
984 + 1112 = 2096
And then divide by 2:
2096/2 = 1048

Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Multiply and simplify if possible.

√7x(√x−7√7)

Thank you lovely

Answers

Step-by-step explanation:

[tex] \sqrt{7x {}^{2} } - 7 \sqrt{49x} \\ \sqrt{7} x - 7 \times 7 \sqrt{x} \\ \sqrt{7} x - 49 \sqrt{x} [/tex]

help me guysssssssssssssssss :D

Answers

Answer:

Slope=3

Step-by-step explanation:

m=y2-y1/x2-x1

m=19-10/6-3

m=3

Answer: The answer is C which is "m = 3"

Step-by-step explanation: To find the slope, the formula is change of y / change of x. The change of y in the graph is 9, and the change of x is 3. 9 divided by 3 is 3. Therefore, the option "m=3" is the correct answer.

Consider the line 8x+6y= 7.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

The slope of a line parallel to this line is -4/7
And the slope of a line perpendicular is 3/4

Will give brainlyest (however you spell it)
Directions: Find the missing angles or arcs. Circles may not be drawn to scale.

Answers

Answer:

7. 30°  8. 97.5°  9. 90°  10. 55°  11. 100°  12. x=32° y=64°

How would I go about solving this problem?

Answers

I started by finding the area of the walls. The 8x10 walls are 80 and there are 2 so 160. And the other walls are 15x8 so 120 and there are 2 so 240. I added 160 and 240 to get 400. Then you need to subtract the window and the door because you aren’t painting them. You end up getting 340

Epress the ratio of cooking oil(80ml) to the milk (250 ml) of the recipe​

Answers

Answer:

8:25

Step-by-step explanation:

Hope this helps!

Which expression is represented by the model below?

2 bars are shown next to each other and each bar is labeled

A.
8
×
2
3
B.
3
×
2
8
C.
8
×
3
2
D.
2
×
3
8

Answers

Answer

its d

Step-by-step explanation:

The expression that is represented by the model below is -

y = 2 x 3/8.

What is expression in mathematics?

An expression in mathematics is a combination of terms both constants and variables.

Given are two labelled bars shown next to each other and each bar.

3 of the 8 bars are colored. Using fraction, we can represent it as -

{f} = 3/8

There are two such bars, so we can write -

y = 2{f}

y = 2 x 3/8

Therefore, the expression that is represented by the model below is -

y = 2 x 3/8.

To solve more questions on algebraic expressions, visit the link below -

https://brainly.com/question/27911936

#SPJ2

30 points

Syed took out a cash advance of d dollars from a financing company. The company deducts a fee of 1/3 of the orig
advanced amount along with a wire transfer fee of $30.00. What is the final advanced amount that Syed receives if she takes out a
cash advance of $300?

(Numerical Answer Only)

Answers

Well what is 30x3 (because that is how you would find what is one third of unknown) then you find the answer witch is 90$

The county fair charges $.50 per ride and $10 to get
in. If you have $32, write an equation to find the
number of rides (r) you can go on.

Answers

Answer:

r=44 rides

Step-by-step explanation:

(32-10) ÷ 0.50 = r

r=44

Answer:

44 rides

Step-by-step explanation:

r=32-10/.50

r=44

can someone please explain this

Answers

Answer:

14 cm²

Step-by-step explanation:

1/2 (7•4)

1/2 (28)

14

Answer:14

Step-by-step explanation:

I believe it is asking you to multiply 4 and 7 getting 28, then divide that by 2 so 14

PLEASE HELP ME!! I will give brainliest

Answers

Answer:

D

Step-by-step explanation:

It is on the positive side of the graph and the point is on 3,1

I need with geometry, I need the blank spaces, anything is appreciated!

Answers

Answer:

2: 139

3: 139

4:41

Answer:

Step-by-step explanation:

10) ∠2 + 41 = 180      {Linear pair}

             ∠2 = 180 - 41

            ∠2 = 139

11) ∠3 = ∠2    {Vertically opposite angles}

∠3 = 139

12) ∠4 = 41      {Vertically opposite angles}

Two lines A and B are parallel if both lines are rotated 90° in the same direction and then translated to the right by the same number of units which statement about the lines resulting from these transformations is true

Answers

Answer:

A' and B' will be parallel. (See Explanation)

Step-by-step explanation:

Given

Parallel lines: A and B

Rotation: 90° same direction

Translation: Right (same units)

Required

Describe the result of the transformation

No options were given. So, I will answer on general terms.

From the question, we can see that, the same transformation that was performed on line A was also done on line B.

This means that both lines will maintain the initial relationship between them.

Initially, A and B are parallel.

After the transformation, A' and B' will be parallel.

Answer:They will be the same line

Step-by-step explanation:I did this on my test it’s correct

15•(13 - 7) ÷ (8 - 5) Simplify

Answers

Answer:

30

Step-by-step explanation:

15•(13-7)÷(8-5)

15•(6)÷(3)

90÷3

30

Answer:

30

Step-by-step explanation:

15 x 6 / 3 =

90 / 3 =

30

Hope that helps!

explain the arrangements of the atoms, I already have the first part done​

Answers

Step-by-step explanation:

The ongoing arrangement of metal atoms in a three-dimensional regular ordered pattern is known in chemistry as a lattice structure. A simple model of an atom is a central atomic nucleus with electrons arranged in shells at different distances from the nucleus.

hallar 4 números naturales pares consecutivos cuya suma sea igual a 44​

Answers

Answer:

11+11+11+11=44

Do I have to use different numbers?

10+14+12+8=44

Can someone help me with this math question plz i will appreciate it. So this is the question: some of the methods you can use to add or subtract are?.

Answers

You could use the distributive property, the distributive property is when you break down numbers, 36-36= (16+16)-(16-16)

Answer:

add: jump strategy, adding up to ten, do the tens last, compensation method, double when the numbers are the same, count from a number upwards

Subtract: take away, minus decrease, leave, how many are left over, difference between, half/halve

Step-by-step explanation:

Mrs. Trotta drives 31 miles each day when she goes to work. How many miles does she drive in a 5 day work week?


Im a little lazy and i dont feel good so someone answer this please

Answers

155 because you do 31 times 5. 31 for each day she drives and 5 for many days she drives there so it’s 155

epic math question that i cant solve

Answers

the area of the shaded region can be found by subtracting the area of the inside rectangle from the outside rectangle

area of outside: 6 X 10y —> 60y
area of inside: 3 X 5x —> 15x

so the area of the shaded region is 60y-15x

the GCF is 15, so the factored form is: 15(4y-x)

There are 99 males and 121 females participating in a marathon. What percent of the participants are female?​

Answers

To do this, we first want to see how many participants there are in total by adding both males and females.

[tex]99+121=220[/tex]

Now we know that there were 220 total participants, but only 121 were females.

This allows us to set up the fraction 121/220= the percent female.

[tex]\frac{121}{220} =0.55[/tex]

or 55%

y−6=4(x+5) what is the slope

Answers

Answer:

4 is the slope

Step-by-step explanation:

y−6=4(x+5)

This equation is in point slope form

y -y1 = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

4 is the slope and ( -5,6) is a point on the line

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