A shelf holds 12 books in a row. How many ways are there to choose five books so that no two adjacent books are chosen

Answers

Answer 1

Answer:

792 ways

Step-by-step explanation:

We can solve this using the combination formular

[tex]nCr= \frac{n!}{r!(n-r)!}[/tex] where n represents the total number of objects/items, and r represents the number of items being chosen at a time.

Hence, in this case, n =  12, r = 5, which is = [tex]nCr= \frac{12!}{5!(12-5)!}[/tex] = 792.

Therefore, there are 792 ways to choose five books so that no two adjacent books are chosen.


Related Questions

HELP
Describe any similarities or differences in the following equations: y = 4x and y = -4x -3

Answers

Answer:

Step-by-step explanation:

y = 4x is proportional and linear ( y = coffienient(x) )

y = -4x - 3 is not proportional because it has a costant ( -3 )

They are both an equation, they have a coffienient, and a value like (x)

9514 1404 393

Answer:

the lines have opposite slopeseach is a mirror of the other in the line y = -1.5the point (-3/8, -3/2) is common to both lines

Step-by-step explanation:

The slope of the first line is 4; the slope of the second line is -4, so the slopes are opposites of each other. (The lines are not perpendicular.)

The y-intercept of the first line is 0; that of the second line is -3, so they cross the y-axis in different places.

Since the slopes are opposites of each other, one line is a reflection of the other about the horizontal line through the point where the lines meet. That point is ...

  4x = -4x -3

  8x = -3

  x = -3/8

  y = 4x = -3/2

The point of intersection (common to both lines) is (-3/8, -3/2).

Find the area of the irregular figure.
6 in
7 in.
A = [? ]in.2
5 in.
12 in.
13 in
4 in

Answers

Answer:

155 in

Step-by-step explanation:

Theres honestly no easy way to solve this except using a pencil and a notebook.

Anyways, heres how I did it:

6 times 7=42

17 times 5=85

7 times 4=28

42+85+28=155

once again im still struggling with this

Answers

Answer:

In bold below.

Step-by-step explanation:

There are 2 whole circles shaded and the other has 3 parts out of 5 shaded.

Mixed number = 2 3/5.

Improper fraction =  13/5.

plzzzzzzzz hurry thnx

Answers

Answer:

0.5, 50%

Step-by-step explanation:

Answer:

1/2 a pound = 0.5 of a pound1/2 a pound = 50% of a pound

I hope this helps!

please please help help​

Answers

I can't see the picture clearly

If I had 4 eggs
Leslie gives me 3 eggs
My farm rooster lays 5 eggs
How many eggs do I have?

Answers

Answer:3 eggs

Step-by-step explanation:

You HAD 4 eggs

Leslie gives you 3 eggs

Roosters don’t lay eggs,

Therefore, you have 3 eggs.

I have 12 eggs

Addition is the the process of determining the total sum of two or more numbers. Addition is a basic mathematical operation. The other basic operations are subtraction, multiplication and division.

The number of eggs I have would increase with the number of eggs I am given and the number of eggs the farm rooster lays. This means I would have to add these numbers together.

The number of eggs I have = number of eggs I has initially + number of eggs Leslie gives me + number of eggs the farm rooster lays

4 + 3 + 5 = 12 eggs

A similar question was solved here: https://brainly.com/question/17472003?referrer=searchResults

1+1 i just need to get this to 20 character
+75 points if you get this right

Answers

Answer:

2 is the correct answer

Answer:

2 is the answer djeidiejdieoeoododos

Factors of 121 what do you think ???

Answers

Step-by-step explanation:

[tex]121 = 11 \times 11[/tex]

1, 11 and 121

Finding the area, any help?​

Answers

Answer:

Volume: x^6

Area: 6x^4

Step-by-step explanation:

volume: length x width x height

area: 6 sides of x^4 so 6x^4

24 is the answer because you multiply areas

Ms. Chibbaro packs 6 almonds for every 3 craisins (cranberry raisins) in her snack pack. She has 12 more almonds than craisins.

Answers

If this is asking how many craisins. She has 12. Craisins and 24 almonds.

simplify 32 L : 56L with whole numerator and denominator

Answers

Answer:

4L/7L

Step-by-step explanation:

32:56 is the same as 32/56

They can be divided by a maximum of 8

32/8=4

56/4=7

4/7

identify the expicit function for the sequence in the table.

Answers

It is B. Because the formula for sequences in in the form of a+(n-1)d where a is the first number in the sequence, n is the nth term(position) and d is the difference between terms. So if a=9 and d=5 the answer is 9 + (n-1)*5

Please help!!!!!!!!!!​

Answers

The answer is C
I’m adding this sentence because it says I need more characters

Step-by-step explanation:

3/1 x 5/6 = 15/6 = 2 3/6 = 2 1/2

answer is C

HELP ME NOW PLEASE! WILL GIVE BRAINLY!!!!!!!!!!!!!!!! PLUS 30 POINTS

Faith is driving to a concert and needs to pay for parking. There is an automatic fee of $7 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Faith have to pay for parking if she left her car in the lot for 3 hours? How much would Faith have to pay if she left her car in the lot for tt hours?


Cost for 3 hours:
Cost for tt hours:

Answers

Answer: 13

Step-by-step explanation:

cost for 3 hours: 7+2(3)=13

cost for t hours: 7+2t

Answer:

13

Step-by-step explanation:

A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?

Answers

One gallon can of paint will cover up to 400 square feet, which is enough to cover a small room like a bathroom. Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room. This is the most common amount needed, especially when considering second coat coverage.

What are there fractions equivalent to 6/24

Answers

Answer: Remember how to find equivalent fractions? Here are some:

1/4, 2/8, 3/12, 4/16, 5/20, 25/100, 90/360, 1800/7200

To find all of these, there's a simple method- multiply the denominator and the numerator by the same number. As long as you make sure to use the same number for both the top AND the bottom, you'll always have an equivalent fraction. For example,

1                1800            1800

---    x     --------------   =   ---------

4               1800             7200

This works because, as you may have noticed, any muliplier you use is in the form of n over n, which, of course, is equivalent to one whole or 100%. Make sense?

The three fractions equivalent to 6/24 are 3/12, 1/4, and 2/8.

What is a fraction?

A fraction is a part of the whole represented by a/b, where a and b are any integers.

The given fraction is 6/24.

Simplify the fraction:

6/24

= 3/12

= 1/4

Divide and multiply the above fraction by 2:

2/8

Hence, the three fractions equivalent to 6/24 are 3/12, 1/4, and 2/8.

Learn more on fractions here:

brainly.com/question/10354322

#SPJ2

Find the percent the first number is of the second 7 ft, 7 yd

Answers

Answer:

33 1/3

Step-by-step explanation:

7/21=1/3

1/3*100=100/3

100/3=33 1/3

20 points.Cynthia has a bag of jellybeans. There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag. Cynthia grabs two jellybeans and gives them to her friend, Pedro, and he eats them. What is the probability that she gives him two red jellybeans?

Answers

Answer:

1/10

Step-by-step explanation:

Cynthia has a bag of jellybeans.

There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag.

total no. of red jellybeans = 2

total no. of jellybeans = 20

Now,

2 ÷ 20 = 1/10

Thus, The probability that she gives him two red jellybeans is 1/10

Answer:

D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.

Step-by-step explanation:

Pretty much, dependent means it can’t be replaced and independent means it can be replaced.

The formula for the circumference of a circle is: c = 2πr Solve for the radius, r, by dividing both sides by 2π. What is the formula for the radius of a circle in terms of the circumference? r = 2 pi c r = StartFraction c Over 2 pi EndFraction r = StartFraction pi Over 2 c EndFraction r = StartFraction 2 pi Over c EndFraction

Answers

Answer:

B/ r = c divided by 2 pi

Step-by-step explanation:

The formula for radius would be C / 2π

what is Circumference of circle?

The circumference of a circle is defined as the linear distance around it.

C=2πr

Given:

c = 2πr

To find the expression for radius we have to follow the steps

c = 2πr

r= c/2π

Hence, the expression for radius is c/2π

Learn more about circumference of circle here:

https://brainly.com/question/15525194

#SPJ2

If x = 4 and y = 3, then xy – 2x = A 4 B 6 C 19 D 40​

Answers

Answer:

A) 4

Step-by-step explanation:

Plug in the value for x and y.

(4 x 3) - 2(4)

12 - 8 = 4

1.5 m =_____ cm
a 15
b 0.015
c 1.5
d 150

Answers

Answer:

150

Step-by-step explanation:

Answer:

D.)150

Step-by-step explanation:

Hope I helped

Colin weighs himself at 60kg to the nearest kg.
What is the least he could weigh?

Answers

55 kg since 55 is the lowest number that can be rounded to 60

Jacob has a piece of paper in the shape of a Decagon, how many sides would be there for the
paper.
A) 7
B) 8
C) 9
D) 10

Answers

Answer:

10

Step-by-step explanation:

A decagon is a polygon that has 10 sides !

Answer
10 if I’m not mistaken
Explanation

Find the unit rate from the graph :

Answers

Answer:

1 gift per person

Step-by-step explanation:

The graph here is linear, and it crosses right through values such as (1,1) (2,2) etc. That shows that per person, each one will get 1 gift.

What is the answer to 5256÷52

Answers

Answer: 5256 / 52 =  101 R4

Solve the system of equations: x + y + z = 5; x - y + 3z = 9; and z = 6.
PLS PLS HELP ME

Answers

x + y + 6 = 5
x - y + 18 = 9

2x + 24 = 14 minus 24
2x = -10 divided by 2
x = -5

-5 + y + 6 = 5
y = 4

Solve the inequality for u.
4.
u>6
9
Simplify your answer as much as possible.

Answers

Answer:

u ≤ -27/2

Step-by-step explanation:

hope this helps

Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.24 per pound. After buying the coffee, she had $38.80 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

5 pounds

Step-by-step explanation:

Given that:

Amount of gift card = $80

Cost of coffee per pound = $8.24

Amount left in the card = $38.80

To find:

Number of pounds of coffee bought = ?

Solution:

Let the number of pounds of the coffee bought = [tex]x[/tex] pounds

Cost of 1 pound = $8.24

Cost of [tex]x[/tex] pounds = $8.24 [tex]\times x[/tex]

Writing the equation as per question statement:

[tex]80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow 8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}[/tex]

Therefore, 5 pounds of coffee was bought.

Find a solution to dydx=xy+6x+4y+24dydx=xy+6x+4y+24. If necessary, use kk to denote an arbitrary constant

Answers

Answer:

f(x, y) = yx²/2 + 3x² + 4yx + 24x + K

Step-by-step explanation:

Given the expression dy/dx=xy+6x+4y+24

To find the solution, we are to make y the subject of the formula as shown

dy = (xy+6x+4y+24)dx

∫dy =∫(xy+6x+4y+24)dx

y = ∫(xy+6x+4y+24)dx

We are to integrate the function with respect to x keeping y constant. Since all constant are brought out if integral sign we will have;

y = ∫(xy)dx + ∫(6x)dx + ∫(4y)dx + ∫24dx

y = y∫xdx + 6∫xdx + 4y∫dx + 24∫dx

Integrate;

y = yx²/2 + 6x²/2 + 4yx + 24x + K

y = yx²/2 + 3x² + 4yx + 24x + K

Hence the solution to the differential expression is;

f(x, y) = yx²/2 + 3x² + 4yx + 24x + K

Where K is the constant of integration.

If y=30 when x=6 what is the value of y when x=12

Answers

Answer:

60

Step-by-step explanation:

tge question wasn't really clear btw

Answer:

60

Step-by-step explanation:

it doubled the x so double y

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