Se tienen cuatro libros de Matemáticas, tres Biología y tres Religión ¿De cuántas maneras diferentes se pueden ordenar todos los libros en línea recta?

Answers

Answer 1

Answer:

4,200

Step-by-step explanation:

Tenemos un total de:

4 libros de matemáticas

3 libros de biología

3 libros de religión

10 libros en total.

Ahora vamos a contar la cantidad de opciones que tenemos para cada posicion.

Primer libro (tenemos 10 opciones)

segundo libro (tenemos 9 opciones, porque ya colocamos un libro)

tercer libro (tenemos 8 opciones, porque ya colocamos dos libros)

Con esto ya podemos estimar el número de opciones para cada posicion, y sabemos que el número total de combinaciones es igual al producto entre los números de opciones para cada caso. El número total de combinaciones es:

C = 10*9*8*7*6*5*4*3*2*1 = 10!

Ahora si asumimos que no podemos diferenciar los libros de matemáticas, entonces no debemos contar sus permutaciones (si tenemos 4 libros de matemáticas, tenemos 4*3*2*1 permutaciones = 4! permutaciones). Debemos dividir al numero total de combinaciones por 4!.

Y lo mismo pasa para las 3! permutaciones de los libros de biología y las 3! permutaciones de los libros de religión.

Entonces el número total de combinaciones diferentes es:

[tex]C = \frac{10!}{3!*4!*3!} = \frac{10*9*8*7*6*5*4*3*2*1}{(3*2*1)*(4*3*2*1)*(3*2*1)} = 4,200[/tex]

Hay 4200 diferentes formas de ordenar los libros.


Related Questions

A graph of a system of two equations is shown. HELP!!!!!

Answers

Answer:

8 and 2

Step-by-step explanation:

8 and 2 because y=5x +3 would be 5+3 which is 8 and y= 3x - 1 would be 3 - 1 which equals 2.

find the perimeter of the figure

Answers

Answer:

the perimeter is 97 cm

Step-by-step explanation:

we find this by adding the lengths of all the sides

Answer:

10+3+3+33+33+15=97

Step-by-step explanation:

I had 3 apples. I add 2 more apples. How many apples do I have?

Answers

Answer:

5 lol

Step-by-step explanation:

Answer:

5 im so smart :)

Step-by-step explanation:

Favorite Color
red
32.86 %
blue
24.36 %
yellow
15 %
green
27.78 %
1728 students were asked to name their favorite color.
The results are shown in this circle graph.
How many students gave green as their favorite?
O A 94
OB. 480
O c. 28
D. 432
O E. 568

Answers

Answer:

I say 28

Step-by-step explanation:

because its 27 and it's almost to 28

Answer:

E. 568

Step-by-step explanation:

A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people.

Answers

Answer:

(a) The area is 0.03 square miles

(b) The population density is 12000 people per square miles

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): Area of Orchid Hill (in square miles)

The dimension of the neighborhood is 4 blocks by 3 blocks

Since each block are of the same dimensions

The area is calculated as:

[tex]Area = 4blocks * 3 blocks[/tex]

If [tex]20\ blocks = 1\ mile[/tex] then:

[tex]1\ block = \frac{1}{20} mile[/tex]

[tex]1\ block = 0.05mile[/tex]

So, we have:

[tex]Area = 4blocks * 3 blocks[/tex]

[tex]Area = 4 * 0.05 * 3 * 0.05[/tex]

[tex]Area = 0.03mi^2[/tex]

Solving (b): The population density of the neighborhood as people per square mile

From the question, we have:

[tex]People = 360[/tex]

[tex]Area = 0.03mi^2[/tex] --- calculated

So, the population density is:

[tex]Density = \frac{People}{Density}[/tex]

[tex]Density = \frac{360}{0.03}[/tex]

[tex]Density = 12000[/tex]

When Ben does his math homework, he finishes 10 problems every 7 minutes. At this rate, how long will
it take him to complete 35 problems?lols please help.

Answers

Answer:

in 7 minutes he solve 10 problems

he solve one problem in = 7/10= 0.7 minute

he solve 35 problem in = 0.7x35= 24.5 minute

Step-by-step explanation:

hope it helps ❤️

Please I need help ASAP 40. Points

Answers

Total owed = starting amount x( 1 + interest rate) ^ time

The equation would be total = 550(1.12)^x where x is the number of months.

Replace total with 550x2 = 1100 and solve for x

It will double in 6.11 months. Round to 6 months

What is the surface area of the victory podium shown here? Include all surfaces of the podium, including the bottom. A. 61.5 square feet B. 61.75 square feet C. 65.25 square feet D. 69 square feet

Answers

Answer:

69

Step-by-step explanation:

the formula is 2( base x height) + 2 (base x width) + 2( height x width)

do that for top rectangle and bottom and add them together

Answer:

65.25 square feet.

What is an equation of the line that passes through the point (- 2, 7) and is perpendicular to the line x - 4y = 24 ? Pls help

Answers

Answer: y=4x-1

Step-by-step explanation: the line goes through (-2,7) and is perpendicular to the line x-4y =24

Layla is going to invest $5,200 and leave it in an account for 15 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Layla to end up with $13,800?

Answers

Answer:

6.5%

Step-by-step explanation:

I just know

What's the circumference of a circle with a radius of 10 inches

Answers

Answer:

5

Step-by-step explanation:

5

I need help with this and the first person who can answer this correctly gets a BRANLIST​

Answers

Answer:

c

Step-by-step explanation:

c because no x values repeat

the bathrrom tiles are square with a length of 10cm find tge area of such tile​

Answers

Answer: 100

Step-by-step explanation:

3 ( x + 8) = ?



show work please!!

Answers

Answer:

Step-by-step explanation:

3(x + 8)

3x + 24

That's all I got. The image is so blurry that I am uncertain how to proceed.

If you are able to describe what the image says, I can definitely answer the question

Use the distributive property to simplify each expression.
(-5d + 1) (-2)

Answers

Answer: 10d-2

Step-by-step explanation:

Answer:

10d - 2

Step-by-step explanation:

Multiply each term inside parentheses by -2, separately:

10d - 2 (answer)

explain why conductivity is a good measure of the salinity of water?​

Answers

Answer:

Salinity and conductivity measure the water's ability to conduct electricity, which provides a measure of what is dissolved in water. In the SWMP data, a higher conductivity value indicates that there are more chemicals dissolved in the water.

Step-by-step explanation:

X-15>-20
Please help first answer gets brainliest

Answers

Answer:

x > -5

Step-by-step explanation:

hope this helps :)

Answer:

x>-5

Step-by-step explanation:

X-15>-20

Add 15 to both sides;

x-15+15=>-20+15

simplify

x>-5

Hope this helped!

Helped by none other than the #QUEEN herself  aka # DrippQueenMo

Solve for x:
3x + 2 = 11
A.
11
5
B. 3
11
13
D.
13
3
E. 6

Answers

Answer:it is b

Step-by-step explanation:

iPaddle charges $15 for paddleboard rentals plus $5 per hour. Write an equation in slope- intercept form to represent this situation where y represents the total cost, for x hours.

Answers

Answer:

Y=5/1x+15

Step-by-step explanation:

I know this is old, but no one answered it so I thought I would

i think what the person above of me said is right

Some one help me please I’m struggling with 1-2 how do I work it out

Answers

To find volume do bxh =V

PLEASE HELP
Find the solution to the system of equations.

You can use the interactive graph below to find the solution.

x= ____
y= ____

Answers

x=6 y=-4


Step: Solve

3
x

9
y
=
18
for x:

3
x

9
y
=
18

3
x

9
y
+
9
y
=
18
+
9
y
(Add 9y to both sides)

3
x
=
9
y
+
18

3
x

3
=
9
y
+
18

3
(Divide both sides by -3)
x
=

3
y

6

Step: Substitute

3
y

6
for
x
in
4
x
+
3
y
=
12
:
4
x
+
3
y
=
12
4
(

3
y

6
)
+
3
y
=
12

9
y

24
=
12
(Simplify both sides of the equation)

9
y

24
+
24
=
12
+
24
(Add 24 to both sides)

9
y
=
36

9
y

9
=
36

9
(Divide both sides by -9)
y
=

4

Step: Substitute

4
for
y
in
x
=

3
y

6
:
x
=

3
y

6
x
=
(

3
)
(

4
)

6
x
=
6
(Simplify both sides of the equation)

Answer:
x
=
6
and
y
=

4

What the answer. ? Please no links

Answers

Answer:

would not be able to use 3 1/2 ft

Step-by-step explanation:

8.5 + 4.5 > 3rd side   ∴ 3rd side must be less than 13 feet

4.5 + 3rd side > 8.5   ∴ 3rd side must be greater than 4 feet

Solve for x. Round your answer to the nearest tenth (one decimal place).

Answers

Answer:

[tex]\displaystyle x \approx 6.7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = 78°

Adjacent Leg = x

Hypotenuse = 32

Step 2: Solve for x

Substitute in variables [cosine]:                                                                       [tex]\displaystyle cos78^\circ = \frac{x}{32}[/tex][Multiplication Property of Equality] Multiply 32 on both sides:                    [tex]\displaystyle 32cos78^\circ = x[/tex]Rewrite:                                                                                                             [tex]\displaystyle x = 32cos78^\circ[/tex]Evaluate:                                                                                                           [tex]\displaystyle x = 6.65317[/tex]Round:                                                                                                               [tex]\displaystyle x \approx 6.7[/tex]

Help please. Question below.

Answers

The answer is to your question is x^2 - 8x

HELPP ME PLEASE!!!!!

Answers

Answer:

-6×-4 and -2×-12 are pairs

-3×4 and 6×-2 are pairs

-8×-2 and 4×4 are pairs

the rest are left overs

The sum of 10 and twice a number
(an equation)

Answers

Answer:

10+2x= the sum (anything could be put here)

Step-by-step explanation:

Well sum is automatically addition

Doubleing a number is basically multiplying it by 2

so

10+2x= whatever youw ant to put here

Lila collected rain water for three days. On the first day she collected 23 liter of rain water. The last two days yielded 14 liter each how much did lila collect in all

Answers

Answer:

47 liter 14+14+23

Step-by-step explanation:

14+14+23=47

Answer:

the awnsers 51

Step-by-step explanation:

you do (14x2)=28+23=51

Consider the quadratic equation 3x^2-6=2x. (a) What is the value of the discriminant? (b) What does the discriminant of the quadractic equation tell about the solutions to 3x^2-6=2x?

Answers

Answer:

(a) discriminant is positive, 76

(b) the above tells you there are two real roots

Step-by-step explanation:

the discriminant is 'b² - 4ac'

3x² - 2x - 6 = 0  ∴ a = 3, b = -2, c = -6

(-2)² - 4(3)(-6) = 4 + 72

(a) The discriminant of the quadratic equation is positive, 76.

(b) The quadratic equation tells you there are two real roots.

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

The discriminant of a polynomial in mathematics is a quantity that depends on the coefficients and enables inference of some root features without computing them.

Given that the quadratic equation 3x²-6=2x.

The discriminant Of the quadratic equation is calculated by the formula below:-

D = b² - 4ac

3x² - 2x - 6 = 0  ∴

a = 3, b = -2, c = -6

Put the value of the coefficient to get the value of the discriminant.

D = (-2)² - 4(3)(-6) = 4 + 72 = 76

Therefore, the discriminant of the quadratic equation is positive, 76, and the quadratic equation tells you there are two real roots

To know more about a quadratic equation follow

https://brainly.com/question/1214333

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621.72 round to the nearest whole number

Answers

Answer:

622

Step-by-step explanation:

Please mark brainliest

Answer:

Hi! The answer to your question is 622

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Find the surface area of this prism.
Round to the nearest tenth.

Answers

Answer:

The answer is 493.3

Step-by-step explanation:

6.72 x 12.7 x 5.78 = 493.28872

And 493.28872 rounded to the nearest tenth is 493.3 because the original number in the tenth place is 2 and then the digit before that is 8 which in this case is your rounding digit. Round up If the number is greater than 5 and round down if its less than 5. In this case its greater than 5 to that leaves you with 28 so now you have 493.28, 28 rounded to the nearest tenth is 30 and just take the 0 away, as if it didn't exist.

The surface area of the prism is 395 square centimeter.

What is volume?

Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write volume as -

V = ∫∫∫ F(x, y, z) dx dy dz

Given is to fins the surface area of the prism given below.

The given prism is a cuboid. We can write the surface area of the cuboid as -

V = 2(LB + BH + LH)

V = 2(12.7 x 5.78 + 5.78 x 6.72 + 12.7  x 6.72)

V = 2(73.4 + 38.8 + 85.344)

V = 395 square centimeter

Therefore, the surface area of the prism is 395 square centimeter.

To solve more questions on Prisms, visit the link-

https://brainly.com/question/22147194

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