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

how of find the area of a composite figure

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Step-by-step explanation:

A composite figure is made up of simple geometric shapes. To find the area of a composite figure or other irregular-shaped figures, divide it into simple, nonoverlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure. Formula = a(a=lw+bh)

Find the value of x
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Answer:

-5.8

Step-by-step explanation:

Find and interpret the mean absolute deviation of the data. Round your answer to the nearest tenth, if necessary. The mean absolute deviation is . Question 2 response - correct

Answers

Required data:

_______________

| 60 | 105 | 80 | 125 |

| 140 | 95 | 65 | 170 |

----------------------------

Answer:

Mean absolute deviation = 30

Variability of the data about the mean value is 30

Step-by-step explanation:

Mean = Σx / n

n = sample size = 8

Mean = (60 + 105 + 80 + 125 + 140 + 95 + 65 + 170) = 840 / 8 = 105

Mean absolute deviation = Σ|x - mean| ÷ n

( |60-105| + |105-105| + |80-105| + |125 - 105| + |140-105| + |95-105| + |65-105| + |170-105|) / 8

(45 + 0 + 25 + 20 + 35 + 10 + 40 + 65) / 8

240 / 8

= 30

The variability of data about the central point or mean value is 30.

a soda company puts a different symbol on a soda cap each year. ​

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Answer:

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Step-by-step explanation:

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4 x 11 = 44
13 x 6 = 78
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The answer is 34 ft
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Answer:

169.56

Step-by-step explanation:

The formula for finding the volume of a cylinder is: πr²h

First step: Plug in the radius and height: π•3²•6

Second step: Plug 3.14 for π: 3.14•3²•6

Third step: Simplify the equation: 3.14•9•6

Fourth step: Multiple to get your final answer: 3.14•9=28.26•6= 169.56

Which of the following is a prime number between 50 and 60?
A.
55
B.
53
C.
57
D.
51

Answers

Answer: B, 53

53 is the only prime number between 50 and 60

Solve for missing value

Answers

Your missing value would be 47
The missing value is 47 degrees

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A. Skewed Right
B. Uniform
C. Skewed Left
D. Normal

Answers

Skewed Right I think. I'm not sure but try it

Answer:

C. Skewed Left

Step-by-step explanation:

Because the first 2 age group have minimal runners than the next 3 age groups spikes and the last 4 are very low once again. the spike occurs relavity near the beggining so if graphed it would be skewed left.

The results of a survey asking 500 people about their favorite ice cream flavor are shown in the table.
Find the experimental probability of each outcome in the sample space. Enter your answers in the boxes.

Flavor Number of People
Chocolate 90
Vanilla 125
Strawberry 60
Mint Chip 50
Other 175
P(chocolate) =
%
P(vanilla) =
%
P(strawberry) =
%
P(mint chip) =
%
P(other) =
%

Answers

Chocolate = 18%

Vanilla = 25%

Strawberry = 12%

Mint Chip = 10%

Other = 35%

The explanation for me getting these exact percentages is because of the formulas given for calculating the percentages from specific numbers and real world problems like this. When you are trying to find the calculation precentages of these types of questions, you divide the number by the total surveyed and multiple by 100.

Example:

125 / 500 = 0.25

0.25 x 100 = 25%

So, this is also how I got the other numbers, just change the "125" to the other numbers.

The experimental probability of each outcome in the sample space are:

P(chocolate) = 18%, P(strawberry) = 12%, P(vanilla ) = 25%, P(mint chip) = 10% and P(other) = 35%

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Flavor               Number of people

chocolate                  90

strawberry                 60

vanilla                        125

mint chip                    50

other                          175

So, the Experimental probability are:

P(chocolate)= 90/ 500 x 100 = 18%

P(strawberry) = 60/ 500 x 100 = 12%

P(vanilla ) = 125/ 500 x 100 = 25%

P(mint chip) = 50/ 500 x 100 = 10%

P(other) = 175/ 500 x 100 = 35%

Learn more about Probability here:

brainly.com/question/30034780

#SPJ2

Please help with this question

Answers

Answer:

Point G and Point B

Step-by-step explanation:

The quadrant on the top right is quadrant 1 and the quadrant on the top left is quadrant 2. The quadrant on the bottom right is quadrant 4 and the quadrant on the bottom left is quadrant 3.

ASAP HELP NEEDED, TAKING A TEST

Question: Based on the data set above for the hours per day sixth graders spend using an electronic device, what is the mean number of hours sixth graders use an electronic device?
No links, useless words, or anything like that. I will report you.

Answers

Answer:

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

1+1+1+1+2+3=9

2+4+4+5+6+6+7+8+8=50

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or

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Answers

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Step-by-step explanation:

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Answer:

x = -1

Step-by-step explanation:

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Line segment AB consists of points A (-1, -2) and B (3,-4). Point C is the midpoint of line segment AB. What would be the equation of the line perpendicular to AB that passes through point C ?​

Answers

A⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣ouldn't a⁣⁣⁣ttach i⁣⁣⁣t h⁣⁣⁣ere, b⁣⁣⁣ut I u⁣⁣⁣ploaded i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. l⁣⁣⁣ink b⁣⁣⁣elow! G⁣⁣⁣ood L⁣⁣⁣uck!

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

b

Step-by-step explanation:

I think I'm not sure I just need to answer a question don't trust me.

The volume of a cone is 8003π cubic yards. The height is 8 yards. Find the radius

Answers

Question:-

The volume of a cone is 8003π cubic yards. The height is 8 yards. Find the radius.

Solution:-

Height (h) of a cone is 8 yards. (Given)

We have to find the radius (r) of a cone.

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ATQ ,

[tex] \frac{1}{3} [/tex]πr²h = 8003π

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Step-by-step explanation:

Answer:

4x         75

Step-by-step explanation:

Now I have never seen a question like this but it would make sense if the GCF is 5, 4x and 7 since 5 x 4x = 20x and 5 x 7= 35.

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Answers

Answer

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Step-by-step explanation:

most likey the polygon

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Answers

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Step-by-step explanation:

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B,D,E

Step-by-step explanation:

Written Response: Sally believes that 1/2% is equivalent to 50%. Is she correct? Why or why not?​

Answers

Answer:

She is correct.

Step-by-step explanation:

1/2 and 50% is the same thing

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She is indeed correct I agree with the other person

An aluminum can has a capacity of 2.37 L. What is the capacity of the can in milliliters?
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Answers

Answer:

2,370 mL

Step-by-step explanation:

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If they ask for it to be set up as a proportion, I would write 1/1000 = 2.37/x and cross multiply. x = 2,370

(-9)5 ∙ (-9)7
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Answers

Answer:

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Step-by-step explanation:

-9×5= -45

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whats the slope using Rise/Run?
thanks, if you help

Answers

Answer:

the slope of the given line is m = rise / run = -1/2

Step-by-step explanation:

Going from (1, -1) to (3, -2), the 'rise' is actually a drop of 1 unit; the 'run' is +2.

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please help me and I have more too​

Answers

Answer:

b. x=3

Step-by-step explanation:

i hope this helps :)

Answer:

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Step-by-step explanation:

20=2x+14

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50 pages. See the details in the attached picture.

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Okay think the answer b

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Answer:

50cm³

Step-by-step explanation:

Multiply the dimensions then divide by three to get the volume of the pyramid

Solve. 40 = -10x + 20

Answers

X=-2 hope this helped :)

Answer:

hi

Step-by-step explanation:

40= -10x+20

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20= -10x

x=20/-10

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hope it helps

have a nice day

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