Of 18 possible​ books, you plan to take 7 with you on vacation. How many different collections of 7 books can you​ take? You can take nothing different collections of 7 books on vacation with you.

Answers

Answer 1

Answer:

31,827 ways

Step-by-step explanation:

Total number of books, n = 18

Number of books to be selected, r = 7

Since, the order of arrangement doesn't matter ;

We use the combination formula :

nCr = n! ÷ (n-r)! r!

18C7 = 18! ÷ 11!7!

18C7 = (18*17*16*15*14*13*12) ÷ (7*6*5*4*3*2*1)

18C7 = 160392960 / 5040

18C7 = 31,827 ways


Related Questions

Given the definitions of f(x) and g(x) below, find the value of g(f(6)).
f(x) = -33 + 10
g(x) = x2 + 3x – 12

Answers

3 because it is a better Dona a toon

14. Write the ratio 15:5 with second term 1.
a. 10:1
b. 3:1
C.
11:1
d. 5:1

Answers

Answer:

your answer would be b

Step-by-step explanation:

if you divide each side by 5 you get

15/5:5/5

3:1

hope this helps! have a nice day!

B

5/1 = 1
15/5= 3

So 3:1

What is the LCM of 2, 4, and 5?

Answers

Answer:

20

Step-by-step explanation:

the LCM of 2, 4, and 5?

2

[tex] {2}^{2} \times 5[/tex]

A plane takes off at 54 degrees latitude. It flies directly south and lands at -12 degrees latitude. Which expression represents the difference in latitude?

❘-12 - 54❘
-❘54❘ + ❘-12❘
❘54 - 12❘
-❘54❘ - ❘12❘

Answers

Answer:

❘-12 - 54❘  

I hope my answer is correct and helpful.


What is the side lengths, in inches, of a cube with a volume of 1 cubic inch?
inches

Answers

Answer:

1 inch

Step-by-step explanation:

[tex]1*1*1=1^3[/tex]

Answer:

1 inch!!

Step-by-step explanation:

Round 543.829 to the nearest 1,000.

Answers

Answer:

It is gonna be 1,000 I believe

Step-by-step explanation:

Answer:

1,000

you don't have anything in the thousands so when you round the 5 up, its gonna be one(1)

What is the midpoint between 0 and n?

Answers

(n-0)/2=n/2 thank you

May someone answer this please ^^? Whoever does I’ll make them brainiest

Answers

Answer: Corresponding

Step-by-step explanation:

They aren’t opposing therefore it can’t be vertical. The are not on the outside therefore it can’t be alternate exterior. The angles also fall on the same line, therefore it’s corresponding.

Write the linear equation in slop intercept from the information given
point(2,-4) slope= -3

Answers

Answer:

y=-3x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-3(x-2)

y+4=-3x+6

y=-3x+6-4

y=-3x+2

Carmen needed 23 of a yard of fabric to make a shirt and a 12 yard of fabric to make a matching skirt. How much total fabric did Carmen need to buy? 1 yard of fabric 1 yard of fabric 34 yard of fabric , 3 fourths, yard of fabric 116 yards of fabric , 1 and 1 sixth, yards of fabric 56 yard of fabric

Answers

Answer:

38/3 yards

Step-by-step explanation:

Given that,

Fabric required to make a shirt = 2/3 of a yard

Fabric required to make a skirt = 12 yards

Total fabric needed,

[tex]x=\dfrac{2}{3}+12\\\\=\dfrac{38}{3}\ yards[/tex]

Hence, 38/3 yards of fabric is needed.

helpppppppppppppppppppp

Answers

Answer:

D is right.

it says name the congruent sides. so KR is congruent to SO and OR is congruent to SK

Answer:

D)

Step-by-step explanation:

Sides with the same number of marks are congruent.

The top and bottom sides are congruent. The left and right sides are congruent.

Answer: D)

Choose the function whose graph is given by: (attached photo)


y= 2cos(3x)
y= -2cos(3x)
y= 2cos(pi/2 x)
y= 2cos(1/3 x)

Answers

Answer:

2cos(3x)

Step-by-step explanation:

If the function were just cos(x), then the second peak would happen at 2π.  Instead though, it happen 2π / 3.   That means that the coefficient of x must be 3.

At zero, we see a peak of the curve, so we're dealing with a cos function, that peak happens at (0, 2), so the coefficient of the function is 2.

That tells us that the function graphed here must be 2cos(3x).

The correct answer is option A which is the equation of the given graph is y = 2cos(3x)

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

If the function were just cos(x), then the second peak would happen at 2π.  Instead, though, it happens 2π / 3.   That means that the coefficient of x must be 3.

At zero, we see a peak of the curve, so we're dealing with a cos function, that peak happens at (0, 2), so the coefficient of the function is 2.

Therefore the correct answer is option A which is the equation of the given graph is y = 2cos(3x)

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ2

how many groups of 1/8 are in 11/12​

Answers

Answer:

2

Step-by-step explanation:

I need to make it 20 character long.

Help worth 50 points

Answers

Answer:

after half the circumference of her arms point A will be first in the performer's arm again

so she had revolve half.

2πr1/2πr2

r1/r2

2.25/18

Answer:

After half, the circumference of her arms point A will be first in the performer's arm again  so she had revolve half.

2πr1/2πr2

r1/r2

     2.25/18

Complete the table for the given rule.
Rule: y= 1/3x

Answers

Answer:

Rule: Y = 1/3x

Slope: 1/3

Y- intercept: (0,0)

X- Intercept: (3,1)

I have answered have a good day.

Jordyn wants to gain less than 5 pounds over the Christmas break

Answers

If your talking about gaining 5 pounds of muscle over Christmas break no that won’t happen but if you eat yea probably

Is m=8 a solution to this equation? (m + 3m) ÷ 4 = 8

Answers

yes you are correct because when you plug 8 into the equation you get (8+3(8))/4

Mr.Rios took his family to dinner the food amounted to $75.00 the restaurant also charges a %4 tax because the service was great he decided to leave the server an 18% tip

Answers

Answer:

what is your question

Step-by-step explanation:

The equations in this sytem were added to solve for x. What is the value of x?

Negative 8 x + 8 y = 8. 3 x minus 8 y = negative 18. Negative 5 x = negative 10.
x = negative 2
x = negative one-half
x = one-half
x = 2

Answers

9514 1404 393

Answer:

  (d)  x = 2

Step-by-step explanation:

Adding the two equations gives ...

  (-8x +8y) +(3x -8y) = (8) +(-18)

  -5x = -10 . . . . . sum of the two equations

  x = 2 . . . . . . . . result of dividing by -5

Answer:

D

Step-by-step explanation:

A factory made 69 packs of mint-flavored gum and 31 packs of fruit-flavored gum. What percentage of the packs contained mint gum?

Answers

Answer:

69%

Step-by-step explanation:

if there are 69 packs of mint gum and 31 packs of friut gum 69+31=100

so 69 out of 100 (packs of mint gum) would be 69% of 100

Will give brainliest

Answers

Answer:

F 8.4

Step-by-step explanation:

4 [ 4.5 - 2(1.2)]

First, multipy 2 and 1.2

2 x 1.2 = 2.4

Then subtract 2.4 from 4.5

4.5 - 2.4 = 2.1

Last, multiply 2.1 from 4

4 x 2.1 = 8.4

Find the amount and compound interest on 5000 at 6% per annum for 3 years annual

Answers

Answer:

The amount is 5,955.08

Step-by-step explanation:

Here, we want to calculate compound interest

We can find this by using the compound interest formula

A = P( 1 + r/n)^nt

A is amount

P

is the principal = 5,000

r is the interest rate = 6% = 6/100 = 0.06

n is the number of times per year in which the interest is compounded = 1

t is the number of years = 3

Substituting these values;

A = 5,000(1 + 0.06/1)^3(1)

A = 5000(1.06)^3

A = 5,955.08

Choose the country which helped India to set up Bhilai Iron and Steel plant in 1959.
a) United States of America

b) Soviet Union

c) Japan

d) France

Answers

Soviet union, union of Soviet socialist republic

The slope of the line that passes through the points (2,4) and (3,8) is ...

Answers

slope = y2 - y1 / x2 - x1
= 8-4 / 3-2
= 4 / 1
= 4

What is the value of x in the figure?

Enter your answer in the box.

x =

Answers

Answer:

68

Step-by-step explanation:

360÷4=90

90-22

68

hope this helps

Answer:

68

Step-by-step explanation:

right angle is 90 take away 22 is 68

A line has a slope of -2. One of the points on the line is (7.-4). Which of the following could be another point on the line? A (2,14) B (1,8) с (-4,7) D (1,12)​

Answers

Answer:

C should be right

Step-by-step explanation:

I hope this helps

Need help pls I don’t like math

Answers

tenths: 9
hundredths: 6

Answer:

Tenths: 0.90

Hundreths: 0.06

I'd suggest you look into decimals just a little? It's literally just the number placement.

Simplify the following expression. 5 - ⅘(2.5n - 2)

Answers

The answer is,

[tex]5 - \frac{4(2.5n - 2)}{5} [/tex]

Is n=10 a solution to this equation? n/2 + n = 10

Answers

Answer:

No, it is not a solution.

Step-by-step explanation:

Substitute 'n' for 10.

[tex]\frac{10}{2} +10=10\\\\5+10=10\\\\\boxed{15\neq 10}[/tex]

10 is not the solution to the equation.

Hope this helps.

Solve the equations.

\large 152+y=870 Y=

\large 2x=30 X =

\large \frac{h}{10}=6 h =

Answers

Answer:

\large 152+y=870 Y=

Step-by-step explanation:

Solve the equations.

\large 152+y=870 Y=

\large 2x=30 X =

\large \frac{h}{10}=6

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