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

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

50%  is 1/2 of 100

She is indeed correct I agree with the other person

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

Tara has five 10p coins and four 20p coins in her purse. She takes out two
coins at random. What is the probability that she takes out at least 30p?

Answers

Answer:

4/9

Step-by-step explanation:

9 coins in total

Amount of combinations to get 30p is 4 ways

so 4/9

Please help :( I’ve been on this fit awhile

Answers

Okay think the answer b

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

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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.

Solve. 40 = -10x + 20

Answers

X=-2 hope this helped :)

Answer:

hi

Step-by-step explanation:

40= -10x+20

40-20= -10x

20= -10x

x=20/-10

x=-2

hope it helps

have a nice day

I need help plsssssssss and thank you!!!!!!

Answers

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

please help me and I have more too​

Answers

Answer:

b. x=3

Step-by-step explanation:

i hope this helps :)

Answer:

4x+20=6x+14

Step-by-step explanation:

20=2x+14

6=2x

3=x

Can yall help me with this pls its due rn and im cryinggggg ill definetly give brainliesttt : (

Answers

Answer:I would just guess and put 55 because 20x+35 would be 55x

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.

So the blank x would be 4 x, the right side would be 7 and the bottom left would be 5.

Which statement is true about the box plots? Select three options.

Both box plots show the same range.
Both box plots show the same interquartile range.
The data for Mr. Ishimoto has an outlier.
Mr. Ishimoto had the class with the greatest number of students.
The smallest class size was 24 students.

Answers

Answer:

B,D,E

Step-by-step explanation:

Alan has read 70% of a book. He has 15 more pages to finish. How many pages are there in the
book?

Answers

50 pages. See the details in the attached picture.

Find the value of x
−0.5x−0.75=2.15

Answers

Answer:

-5.8

Step-by-step explanation:

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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.

An aluminum can has a capacity of 2.37 L. What is the capacity of the can in milliliters?
(1 L = 1,000 mL)

Answers

Answer:

2,370 mL

Step-by-step explanation:

1000mL = 1 L, so I multiplied 1000 by 2.37

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

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

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

Answers

Answer:

cool

Step-by-step explanation:

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

50/9=5.55555555556

or

9/50=0.18

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.

Now,

ATQ ,

[tex] \frac{1}{3} [/tex]πr²h = 8003π

[tex] \frac{1}{3} [/tex]r²h = 8003 [ ' π ' is cancelled from both sides ]

[tex] \frac{1}{3} [/tex]r² × 8 = 8003

r² = [tex] \frac{8003 \: × \: 3}{8} [/tex]

r² = [tex] \frac{24,009}{8} [/tex]

r² = 3001.125

r = [tex]\sqrt{3001.125}[/tex]

r = 54.78

The radius of a cone is 54.78 yards. [Answer]

I need help QUICKLY on this algebra question!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = -1

Step-by-step explanation:

to find axis of symmetry, use the following equation:

x = -b/2a

in this problem, a = 3, b = 6, c = -12

x = -6/2(3)

x = -6/6

x = -1

a) Write down the mathematical name of this shape?

Answers

Answer

this is a Parallelogram or a Polygon

Step-by-step explanation:

most likey the polygon

as i see it, it looks like a polygon

If you get a student loan for $2,000 at 8% interest, what is the simple interest for one year?

Answers

You would have a simple interest of 2 with a simp

10 Please! HELP! very easy! will give brainliest!

Answers

4 x 11 = 44
13 x 6 = 78
78 - 44 = 34
The answer is 34 ft
It’s 34 ft.
Hope this helps!

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.

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.

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

If u know ,
Help me please .

Answers

Answer:

50cm³

Step-by-step explanation:

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

Solve for missing value

Answers

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

Find the volume of a pyramid with a square base, where the area of the base is
8.3 mº and the height of the pyramid is 6.3 m. Round your answer to the nearest
tenth of a cubic meter.

Answers

Answer: 17.4 m^3

Step-by-step explanation:

V= 1/3 Bh

B=8.3

H=6.3

V=1/3 (8.3)(6.3)

V=17.43

V=17.4m^3

(-9)5 ∙ (-9)7
what's the answer

Answers

Answer:

2835

Step-by-step explanation:

-9×5= -45

-9×7= -63

-45×(-63)=2835

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.

how of find the area of a composite figure

Answers

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)

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