A family has four daughters. Their home has three bedrooms for the girls. Two of the bedrooms are only big enough for one girl. The other bedroom will have two girls. How many ways are there to assign the girls to bedrooms?

Answers

Answer 1

Answer: 12 different ways.

Step-by-step explanation:

For a set of M elements, the number of combinations of N elements (N ≤ M) is given by:

[tex]C(M, N) = \frac{M!}{(M - N)!*N!}[/tex]

In this case we know that there is a room that can hold two of the girls, then the number of combinations of the two girls that can be in that room is:

[tex]C(4, 2) = \frac{4!}{2!*2!} = \frac{4*3}{2} = 6[/tex]

So these are the different combinations for the larger room.

So we assume that two girls already have a room, then we have two girls left and two rooms left.

For the first room, there are two possible girls that can be in, let's choose one of them.

For the last room, whe have only one girl left, so we have one option.

The total number of combinations will be equal to the product between the number of options for each event (where the events are assigning the girls to the rooms)

Then the number of different outcomes is:

C = 6*2*1 = 12

There are 12 different ways.


Related Questions

convert 6¼ % into decimal

Answers

Answer:

6.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.25 percent would be 0.0625

You have discovered another alien. Find the correct rescue path before answering this question. Which statements are true about the equation of the line used to save this alien? The y-intercept is not visible on the graph. The slope does not exist for this line. The y-intercept is positive. The line crosses the x-axis at –3.

Answers

The correct answers are option A and option D.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

From the given graph it is clear that the spaceship is located at (-4,3). The alien is at (-2, -3).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

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

y - 3 = -3x -12

y = -3x -9

The equation of the line is;

y = -3x -9    {equation 1}

Slope intercept form of a line is

y = mx + b          {equation 2}        ,

where m is the slope and b is the y-intercept.

On comparing the equation (1) and (2) we get

It means,

Slope = -3

y-intercept = -9

Points from -6 to 6 are labeled on y-axis. The y-intercept is -9, so it is not visible on the graph.

Option A is correct.

Substitute y=0 in equation (1) to find the x-intercept.

Divide both sides by 3.

x-intercept is -3. It means the line crosses the x-axis at -3.

Option D is correct

Therefore, the correct options are A and D.

To learn more about the slope;

brainly.com/question/3605446

#SPJ6

Need it ASAP will give brainliest

Answers

Answer:

Step-by-step explanation:

Option A is the correct answer

256 x 343 / 7 x 64

87808 / 448

= 196 = 14^2

Answer:

Option A is the correct answer

Step-by-step explanation:

256 x 343 / 7 x 64

87808 / 448

= 196 = 14^2

Please help me I’m so sad I don’t know nothing and I just HELPP me

Answers

Answer:

Step-by-step explanation:

42k³ + 28k² - 63k

help is needed :) similar or not similar

Answers

i would go with yes, they are similar

State if the two triangles are congruent. If they are, state the triangle congruence theorem that proves it

Answers

Answer:

Not congruent

Step-by-step explanation:

The sides that are equal in length are not in the same place if you align the triangles.

Nikki is solving the equation below. Which value of x makes the equation true ?

Answers

A: -24 the answer to ur question
The correct answer is A) -24.

I do not have enough time to explain but, I hope this helps you :)

A card is drawn from a​ well-shuffled deck of 52 cards. Find the probability that the card is a red card or a 6?

Answers

Answer:

50% chance of it being red; a 13% chance of it being 6.

Step-by-step explanation:

50% because half the deck is red or black

13% because only 4 cards a 6 so 52÷4=13

I need help with this

Answers

Answdf-ipuofnvpaosnpvpsivdi

the asnwer is b

Step-by-step explanation:

wef iweufhnwefhewihwnfvbrgfnhpfbovnv urfghv nvmv

helppppppppppp pleaseeeeeee ​

Answers

Answer: #1

Explanation:
Because the y int represents the starting point which in this case is -7 and the slope is -3/1 which represents the direction that the fish is swimming in (up or down)

Please help with this. THank you

Answers

Answer:

8 ones quotient

0 one remaining

Step-by-step explanation:

there is no remaining

Remainder is 0
Quotient is 8
Reminder is 0

What is the least common multiple (LCM) of 3 and 5?
O 30
O 2
O 15
O 8
pls help ​

Answers

Answer:

15

Step-by-step explanation:

magical it is 15 because it is what it is

One number is 4 more than the other. The difference between their squares is 72. What are the numbers

Answers

We have to set up 2 different equations if we are to solve for 2 unknowns. The first equation is x = y + 4. One number (x) is (=) 4 more than another (y + 4). Since we have determined that x is larger (cuz it's 4 more than y), when we set up their difference, we are going to subtract y from x cuz x is bigger. The second equation then is . In our first equation we said that x = y + 4, so let's sub that value in for x in the second equation: . Expand that binomial to get . Of course the y squared terms cancel each other out leaving us with 8y + 16 = 64. Solving for y we get that y = 6. Subbing 6 in for y in our first equation, x = 6 + 4 tells us that x = 10. Yay!

PLEASE HELPP Which equation is parallel to y = –3 x + 4 and passes through the point (–3 , 4)? y = –3 x – 5 y = 13 x + 3 y = –3 x + 15 y = 13 x + 5

Answers

Answer:

A.(-3,4) is your answer.

Step-by-step explanation:

-3x+4

For A:

x=-3

y=4

Plug in 3 where x is and multiply -3 x -3, which equals 0.

Then you plug in 4 where y is, so then your equation is (4=0+4)

Then you add 0 +4, which sum is 4.

Final equation is 4=4, so yes your answer is A. (-3 , 4)

Can you mark me brainliest anwer.

six friends share a 15 once bag of nuts equally between witch too whole numbers will each get

Answers

Answer:

if you divide 15 by 6 you should get 2.5 as your answer

Answer:

between 2 and 3

Step-by-step explanation:

15/6=2.5

2<2.5<3

those are the two whole numbers closest to 2.5

Help please!!!

Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls. what is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?​

Answers

Answer:

27 stalls

Step-by-step explanation:

111 / 4 = 27.75

So he can fill at most 27 stalls completely

i believe it would be 27

Helppppppppppppppp...

Answers

Answer:

180 degrees

Step-by-step explanation:

Answer:

It’s 180 degrees I think

Step-by-step explanation:

Please don’t just comment for points

Answers

1. no because 2x+10 is not equal to 2x+7
2. no. you cant add una like terms so 4x+4 doesn’t equal 8x
3. yes. the terms still retain their same value although they are not in the same order
4. yes. when u distribute the -3, you get -3x-6 which is of course equal to -3x-6

please help me asap​

Answers

Answer:1.  C. about 12. C. 1 15/18Hope this helps!!

A researcher compared the heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best fit for the data, where x is the shoe size and y is the height, in inches, Based on the equation, what is the approximate shoe size for a man having a height of 60 inches? On O n. 108 O c. 12 D. 14​

Answers

¡Hola! Espero que si puedes leer esto, estás teniendo un gran día, lamento mucho que no puedas resolver esta pregunta, pero en realidad, ¡yo tampoco! gemelos !! ahora diré algunos números aleatorios para que parezca la respuesta, lo siento mucho de antemano si no obtiene la respuesta real. x multiplicado por y te dará 329, que divides por 3 para obtener tu respuesta. no me escuches, no tengo idea de lo que estoy hablando, pero espero que tengas un día bendecido, Dios los bendiga ♥ ️

Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the ham. What would be the combined cost of 1 pound of turkey and 1 pound of ham?
A. $7.50 B. $9.50
C. $10.50 D. $15.00

Answers

Answer:

Step-by-step explanation:

The correct answer would be C $10.50 have a good day.

12x-20y=180 slope-intercept form

Answers

Answer:

y=3/5x-9

this is what im learning as well

Regular: 12x-20y=180

In slope-int form: y = 3/5x - 9

that should be your answer.

I need help anyone know what this is?

Answers

Answer:

∠[tex]ACD=60[/tex]° or B

Step-by-step explanation:

[tex]110+120+70= 300[/tex]

[tex]360-300=60[/tex]

Answer:

B 60

Step-by-step explanation:

Do not let all the extra triangles on the outside trip you out. The shape is a trapezoid which total should equal 360. Add all the angles up and subtract from 360 to get 60

Hope this Helps :)

Johannes needs to buy replacement team uniforms and is looking at different prices he has a budget of 300 he needs 18 pairs of plants and 12 shirts let x represent

Answers

Answer:

12 Shirts would be $275.

18 Pairs of Pants would be about $284 and some change.

Therefore, he would not be able to purchase the amount of shoes AND shirts that he needs for the team uniforms.

Step-by-step explanation:

Meg found another treasure between −13
4
feet and
-21
2
feet. Where was that treasure?

Negative 1 and one-half
Negative 2 and three-fourths
Negative 1 and one-fourth
Negative 2 and one-fourth

Answers

Answer:

Step-by-step explanation:

if it's -1 and 3/4 and -2 1/2 then it would be D, it's the only number to fit in that range

A map has a scale of 2 inches = 50 miles. If the
distance between two cities on the map is 7 inches,
what is the actual distance between the cities?

Answers

Answer:

175 miles apart.

Step-by-step explanation:

This is because 2 goes into seven 3 times and half of 50 is 25 so for 1 inch it would be 25 miles. 50+50+50+25=175 miles.

21 pounds into ounces

Answers

21 pounds is 336 ounces

Answer: 336

Step-by-step explanation:

it is 336 because if it is 21 poundes it is large so it sums up to 336 ounces

Which relation is a function?
Select all that apply.


{(1,4), (2,4), (3, 4), (4,4)}

{(3,1), (−3,1), (4, 3), (−4,3)}

{(3,1), (3,3), (3, 2), (2,3)}

{(3,1), (3,2), (3, 3), (3,4)}

{(3,3), (−2,−2), (0, 0), (−4,4)}

Answers

Answer:

1. yes

2. yes

3. no

4. no

5. yes

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

You are to take a multiple-choice exam consisting of 100 questions with 2 possible responses to each question. Let x represent the number of correct responses on the test. A) What is your expected score on the exam?B) Compute the variance and standard deviation of x.

Answers

Answer:

50 ;

25 ;

5

Step-by-step explanation:

Given that:

Number of multiple choice questions = 100

Number of possible responses = 2

Hence, probability of success, p = 1/2 = 0.5

Using normal approximation :

The expected score = mean = n*p

Expected score (X) = 100 * 0.5 = 50

standard deviation = std(X) = √

Var(X) = n*p*q

q = 1 - p = 1 - 0.5 = 0.5

Variance = Var(X) = (100 * 0.5 * 0.5)

Var(X) = 25

Var(X) = 25

The Standard deviation (Std) = √Var(X)

Std(X) = √25

Std(X) = 5

Karen is planting a tree. She wants to use three guide wires to stabilize the tree. If Karen places the guide wires 8 feet up
the trunk and 6 feet from the base, how much total wire will she need for both guide wires?

Answers

Answer:

Karen will need 42 feet to use 3 guide wires to stabilize the tree.

Step-by-step explanation:

1 guide wire = 8 feet up + 6 feet from base

1 guide wire = 14 feet

3 guide wires = 14 feet + 14 feet + 14 feet

3 guide wires = 42 feet

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