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

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.

Which statements about opposites are true?

Select each correct answer.


The opposite of zero is zero.

A number and its opposite are located the same distance from zero on a number line.

The product of a number and its opposite is always 1.

The opposite of a negative number is always a positive number.

Find the magnitude and direction of r+u

please help !!

PLEASE HELP ASAP NO LINKS PLEASE An employee works as a veterinary assistant at a clinic making $31,840 per year. However, the clinic is hiring veterinarians at a salary of $72,100 per year. The employee went back to school to become a veterinarian. How much more money could the employee make working as a veterinarian instead of a veterinary assistant over 5 years? Enter your answer in the box.

Please help with these 2 range questions ❤

Ms. Costo is shopping for a new car. The salesman tells her the price will be $18,795 before a 10% discount. Ms. Costo isn’t sure she is getting the best price, so she sends Ms. Deele to ask the price of the same car. This time the salesman tells her the price is $17,050. Who is offered the better price? What is the price of the better deal after paying the 6% sales tax?​

A circular plate has circumference 30.8 inches. What is the area of this plate? Use 3.14 for t.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)

11. Oliver had $10. On his birthday, he received $25. Use the equation below to find how much money Oliver has now. equation: 10 + 25 = m *

If you have a group of 14 boys and 13 girls, and you want to choose 3 from each group, how many ways can this be done?

yo can someone help me with this? (Links = report)

HELP ME SOMEBODY PLEASE 8 more

A lawyer drives from her home, located 15 miles east and 28 miles north of the town courthouse, to her office, located 6 miles west and 44 miles south of the courthouse. Find the distance between the lawyer's home and her office.​

Help please thank you:) QUICKLY!!!!!!!!!

A study reports that about half of pet owners have either a dog or a cat. The other half of pet owners have birds,
reptiles, or other animals. To find out if this applies in its area, an animal shelter surveys a random sample of 30 pet
owners. Nineteen of them say they own either a cat or a dog.
Let even digits represent owning a cat or a dog and odd digits represent owning some other type of animal.
08979
61956
77989
04853
28580
80896
Using the line of random numbers, what is the best estimate of the proportion of responses in a sample who own either
a cat or a dog?
0.47
0 0.50
0.53
0.63

In slope intercept y=mx+b if the slope is 3/4 and the -y intercept is -2

A scientist uses 8.5 grams of carbon every 30 minutes during an experiment. If the experiment lasted 2 hours, how many total kilograms of carbon did they use?

If u know ,
Help me please .

Rhea draws rows and columns on a big piece of paper to make 16 same-sized squares. How many rows and columns does she draw? I

Sofia's batting average is 0.022 higher than Joud's batting average. Joud has a batting average of 0.169.

Tomás is cutting a board into 1/6 yard pieces. If the board is 3 yards long, how many pieces can Tomás cut?

Sophia spent $32.16 on four sandwiches. If each sandwich cost the same amout, how much does one sandwich cost.

17 more than twice Chrissy's height

Simplify: 14 - ³√216 No files

A number was subtracted from 15. After which, that result was multiplied by 5. This result was then divided by 5 for a result of 1. Given this information, what was the initial number?

yo can i get some help no links or pictures only say the truth or get reported

Given: EL≅KP Prove: KE≅LP

Problem 1. Find the total volume of both shapes. (add)
Radius 2 in
Height
6 in
Height 2 in
Length 4 in Width 1 in
HELP PLEASE

please help and no files please

Oumou is buying tile for her kitchen. The area of Oumou’s rectangular kitchen, in square feet, can be found by using the expression 5(3m+4n). Use the distributive property to write an equivalent expression for the area of Oumou’s kitchen.

Can someone pleaseeee help and if you’re correct i’ll give brainliest

A tool box has the dimensions of 10 in by 7 in by 3 in. If Deena plans to double all three dimensions to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?