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

What is the value of x in the figure? Enter your answer in the box.

Answers

hold on give me a second i got this

Answer:

X = 65

Step-by-step explanation:

2(65) + 15 = 145

ur welcome

Your entry level position at the law firm is $34,000 and it increases by 2.5% each year.
A. Write an exponential function to represent this situation.
B. What will your salary be in 5 years? Round your answer to the nearest dollar.

pls I need this I'll give away the rest of my points​

Answers

Answer:

A) [tex]S(n) = 34000(1.025^{n})[/tex]

B) $38,468

Step-by-step explanation

[tex]34000 (1.025^{5}) = 38,467.8792[/tex]

how do i solve 3x-8x=-40

Answers

Answer:

The answer is 8 below is how you do it.

Step-by-step explanation:

first combine like terms 3x-8x

then you will have 5x

then do 40/5 and you will get x=8

Ok so to solve for x you need to isolate the variable. Usually, when solving an equation the first step would be to get all of the variables of x on the same side but this equation is already set up that way. Since 3x and 8x are both of the variable x you can simply subtract them and you would be left with:

-5x=-40

Now what you want to do is completely isolate x to get it by itself in which you would divide both sides by -5. Remember *When solving an equation you must do the same math to both sides.

-5x/-5=-40/-5

x=8

So the answer would then be 8. Also remember you can always check to see if your equation is correct by plugging your answer into the original equation

3(8) - 8(8) = -40

24 - 64 = -40

-40 = -40

Hope this helped :)

Please help! Tysm if you do!

Answers

Answer:

A

Step-by-step explanation:

We can solve this problem by eliminating wrong answers

It can be b because there is no 3

It can be c because the equation would be 4+3

And it can be d because the equation would be 3x+4

so it must be a

Answer:

option A is correct

as additional page costs is not fixed so there will be any value of x with multiply by 4

and the fixed remain only one time so it remains fixed and 3 is also fixed.

question on the picture:

Answers

Answer:

[tex]36\ feet[/tex]

Step-by-step explanation:

Assume that the shadow of an object in this problem is proportional to the height of the object. One can form the following ratio to describe the objects in this problem,

[tex](height):(shadow)[/tex]

As per the given problem, a (6) foot person casts a (1.7) foot shadow. Therefore, one can form the following ratio,

[tex]6:1.7[/tex]

It is given that there is a lighthouse that has a shadow of (10.2) feet, one is asked to find its height. Use the parameter (x) to represent the unknown; since the ratios are related, one can form a proportion to solve for(x).

[tex]6:1.7=x:10.2[/tex]

Cross products,

[tex](1.7)(x)=(6)(10.2)[/tex]

Simplify,

[tex]1.7x=61.2[/tex]

Inverse operations,

[tex]1.7x=61.2[/tex]

[tex]/1.7[/tex]

[tex]x=36[/tex]

Find an angle between 0 and 360 degrees that is coterminal with 232

Answers

Answer:

Hola que hace

:I

Step-by-step explanation:

NO LINKS PLEASE what is y? (please explain the steps too :))

y=3(19)-5 y=2(19)+14​

Answers

Answer:

solution given:

y=3(19)-5=57-5=52

y=2(19)+14=2×19+14=38+14=52

:.

y=52

Answer:

y = 52

Step-by-step explanation:

Order of operation says we must multiply before you subtract or add.

So 3 * 19 = 57 then subtract 5 you get 52.

Next 2 * 19 = 38  then 38 + 14 = 52


the radius of a circle is 6.3 yards. the circle's area is about ___ square yards.

use 3.14 for pi and round your answer to the nearest hundredth.​

Answers

Answer:

37.699cm

Step-by-step explanation:

The circumference of a circle can be obtained by using the equation below:.

find the indicated side of the triangle a=

Answers

Ar of triangle = 3b , Ar of triangle = 6a a = 12/root3

what is volume triangluar prism width of 6, length of 5, and a height of 13

Answers

Answer:

1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

Step-by-step explanation:

I don’t really know how to explain it’s sry.

HELP ANWSER ASAP PLEASE

Answers

Answer:

[tex] \boxed{x = 45°} [/tex]

Step-by-step explanation:

When two chords intersect at a point in a circle, they form arcs, along with angles at the intersection point.

To determine the angle of the arc, we must apply this geometric rule:

[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex].

Since we are looking for one of the arcs, we can rearrange this formula to solve for the first arc.

[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex] →

[tex] Angle \: formed \: by \: chords = \frac{1}{2}(\overset{\frown}{BA} + \overset{\frown}{CD}) [/tex] →

[tex] 2 × Angle \: formed \: by \: chords = \overset{\frown}{BA} + \overset{\frown}{CD} [/tex] →

[tex] 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} = \overset{\frown}{BA} [/tex]

[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]

[Given]

[tex] \overset{\frown}{BA} = x° [/tex]

[tex] \overset{\frown}{CD} = 99° [/tex]

[tex] Angle \: formed \: by \: chords \: = 72° [/tex]

[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]

[tex] x° = 2 × 72° \: – \: 99° [/tex]

[tex] x° = (2 × 72°) \: – \: 99° [/tex]

[tex] x° = 144° \: – \: 99° [/tex]

[tex] \boxed{x° = 45°} [/tex]

I hate these can I get sone help​

Answers

Answer:

m<a=56

m<b=34

m<c=56

Step-by-step explanation:

The rectangle is cut into two triangles. The total of a triangles angles is 180 degrees. The triangles are right triangles which means that the right angle is 90 degrees.

You already have an angle that measures 34 degrees.

Alternate interior angles are congruent. So, the given angle is equal to m<b.

Now add 90+34=124

To get the alternate interior angles (m<a and m<c) subtract 124 from 180 which equals 56 degrees.

Answer:m

Step-by-step explanation:

Cuanto costara alforbrar un cuarto de 12 pies de ancho por 15 de largo si la alfombra vale 20.80 la yarda cuadradas

Answers

Respuesta:

416

Explicación paso a paso:

El Área de la habitación:

Largo * ancho

Longitud = 15 pies

Ancho = 12 pies

Área de la habitación = Largo * Ancho

Área de la habitación = 15 pies * 12 pies

Área de la habitación = 180 pies²

Conversión del área de la habitación en patio²

Dividir el área en pies² por 9

180 pies² ÷ 9 = 20 yardas²

Costo de la alfombra por yarda cuadrada = 20.80

Costo total de la alfombra = 20.80 * 20 = 416

i do not know wich one it is

Answers

Answer:

B

Step-by-step explanation:

You are right becuase thats mainly were the cluster is.

PLEASE HELP ILL MARK U BRAINLIEST

Answers

Answer:

I think that it is zy.

Step-by-step explanation:

I believe this because x angle is 100 degrees while y angle is 50 degrees. Z is still unknown, but since y is the smallest number of the 2 angles we do know, I think that it is safe to asume that zy is the shortest side.

Alguien que hable ESPAÑOL :) ​

Answers

Yo ablo español pero no puedo escribirlo bien!:/

Answer:

yo

Step-by-step explanation:

pls help asap 15 point and brainliest

Answers

Answer:

The distance between the two points is 10.3

Step-by-step explanation:

To find the length of the line joining the two points, we are going to use the distance formula

Mathematically, we have this as;

D = √(y2-y1)^2 + (x2-x1)^2

From the question;

(x1,y1) = (-3,4)

(x2,y2) = (2,-5)

Thus, we have it that;

D = √((-5-4)^2 + ((2-(-3)^2

D = √81 + 25

D = √(106)

D = 10.3

The last one, please answer

Answers

Answer:

the answer will be one times ten raised to the power five

Step by step explanation:

Answer:

6.994x10^9 .................

Find the GCF of 38m and 57n.

Answers

Answer:

Just 19 is a factor of both.

GCF of 38 m and 57 n is :19.

Hope this helps!

mr.rai sells a watch set for rs2,035 at 10% profit . how much money has he paid to buy the watch also find profit amount

Answers

Answer:

paid to buy = 1850

profit = 10%

Step-by-step explanation:

2035 = 110%

1% ~ = 18.5

100% = 1850

2035 - 1850 = 185

185 / 1850 * 100 = 10% profit

I WILL REWARD HIGHEST POSSIBLE THING, JUST ANSWER PLEASE!

Answers

Given:

Endpoints of a line segment EF are E(-3,8) and F(7,-7).

Point  P divides the segment EF such that EP:PF = 2:3.

To find:

The coordinates of the point P.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of the points are:

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

It is given that EP:PF = 2:3. It means the point P divides the segment EF in 2:3.

Using section formula, we get

[tex]P=\left(\dfrac{2(7)+3(-3)}{2+3},\dfrac{2(-7)+3(8)}{2+3}\right)[/tex]

[tex]P=\left(\dfrac{14-9}{5},\dfrac{-14+24}{5}\right)[/tex]

[tex]P=\left(\dfrac{5}{5},\dfrac{10}{5}\right)[/tex]

[tex]P=\left(1,2\right)[/tex]

Therefore, the coordinates of the point P are (1,2).

‼️Someone help please..
Find the missing term in each sequence

Answers

Answer:-170

Step-by-step explanation:as you can see it is going in a pattern from the negative ok thanks.

two simple questions

Answers

Oh i love these x=4,y=9

Kayla reads the same number of books each month. She reads at a rate of 14 books every 7 months. She claims
that the number of books she has read will always be at least 7 greater than the number of months since she
started reading.
Determine a whole number of books and a whole number of months that show Kayla's claim is incorrect.
Enter the number of books in the first response box.
Enter the number of months in the second response box.​

Answers

Answer:

28 books and 14 months

Step-by-step explanation:

Because 28 is greater then 14 by 14 not 7

Lindsey made a map of her town which place in Lindsey's town is located at 4,5

Answers

Answer:

the school

Step-by-step explanation:

the point given is (4,5) so let's try to hone in on that so to speak-

with that in mind, the way that i find the easiest to answer this is by using rise over run or the crawl before you walk method

seeing as how both are practically the same i'll just go with the craw before you walk method-

so we will 'crawl' to 4 along the x axis then we'll 'walk' and stop once we reach (4,5) and at (4,5) there is the school building and since her town is also located at the same point the school building is the correct answer

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Mai had $14.50. She spent $5.25 at the arcade. What is the exact amount of money
Mai has left?

Answers

Answer:

nine dollars and 27 cents

Step-by-step explanation:

if u minus 14.50 minus 5.25 u get 9.27 9 dollars and 27 cents

Yw!

Answer:

9.25

Step-by-step explanation:

subtract 5.25 from 14.50

need help pls I give 20 points out

Answers

Yes anything will fit if you make it fit

A dealer paid $10,000 for a used car at an auction. At the dealership, a salesperson sold the car for
30% more than the auction price. The salesperson receives a commission of 5% of the dealership
price. How much commission did the salesperson receive in dollars?
A. $150
B. $650
C. $3,000
D. $12,350

Answers

Answer:

(1.3×10000)×0.05=650$

Step-by-step explanation:

It was sold for 30% more than at the auction, which means we add 30% which is 0.3 of the price at the auction so 10000 + (30/100)×10000 which equals 13000. Now take 5% which is 0.05 of 13000 to get the final answer

(x% is equal to X/100)

Consider the diagram below. Given tir tix til Which triangle was constructed congruent to the given triangle?​

Answers

Answer: The anwser is Triangle 2

The given triangle is congruent to the second triangle because they same construction methods and the have same size and same shape.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

We have given a congruent triangle in the picture.

After close observation, the second triangle has the same size and the same shape, and the same construction method by arc method.

Other triangles have different construction methods.

Thus, the given triangle is congruent to the second triangle because they same construction methods and the have same size and same shape.

Learn more about the congruent triangle here:

https://brainly.com/question/12413243

#SPJ2

Write the equation of the line that passes throught the points (-1, 6) and (5, -4).

Answers

Answer:

y = -5/3x + 13/3

Step-by-step explanation:

(-1, 6) and (5, -4).

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (5 - (-1))

Simplify the parentheses.

= (-10) / (5 + 1)

= (-10) / (6)

Simplify the fraction.

-10/6

= -5/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -5/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (5, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -5/3(5) + b

To find b, multiply the slope and the input of x(5).

-4 = -25/3 + b

Now, add 25/3 to both sides to isolate b.

-4 ⇒ -12/3

-12/3 + 25/3 = 13/3

13/3 = b

Plug this into your standard equation.

y = -5/3x + 13/3

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, 6).

y = -5/3x + 13/3

6 = -5/3(-1) + 13/3

6 = 5/3 + 13/3

6 = 18/3

6 = 6

Your equation is correct.

Hope this helps!

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