We have 4different boxesand 6different objects. We want to distribute the objects into the boxes such that at no box is empty. In how many ways can this be done?

Answers

Answer 1

Answer:

Following are the solution to this question:

Step-by-step explanation:

They provide various boxes or various objects.  It also wants objects to be distributed into containers, so no container is empty.  All we select k objects of r to keep no boxes empty, which (r C k) could be done.  All such k artifacts can be placed in k containers, each of them in k! Forms. There will be remaining [tex](r-k)[/tex] objects. All can be put in any of k boxes.  Therefore, these [tex](r-k)[/tex] objects could in the [tex]k^{(r-k)}[/tex] manner are organized.  Consequently, both possible ways to do this are

[tex]=\binom{r}{k} \times k! \times k^{r-k}\\\\=\frac{r! \times k^{r-k}}{(r-k)!}[/tex]

Consequently, the number of ways that r objects in k different boxes can be arranged to make no book empty is every possible one

[tex]= \frac{r!k^{r-k}}{(r-k)!}[/tex]


Related Questions

A linear equation in two variables, x and y, is an equation that can be written in the form _________
, where m and b are constants.

Answers

Answer:

y=mx+b

Step-by-step explanation:

The required linear equation is the slope intercept form of a linear equation given by y = mx + b.

What is the linear equation with two variables ?

A linear equation with two variables is any equation that can be expressed in form ax + by + c = 0, where a, b, and c are all real values.

We know that there are various ways of representing a linear equation as follows :

First is the point-slope form of representing a linear equation and it is expressed by y - y1 = m (x-x1)Second is slope-intercept form which is given by : y = mx + bThird is general form of a linear equation which is : ax + by = c

These are all legitimate variations of linear functions, and they may all be transformed into and out of other linear functions.

The linear equation in two variables x and y is an equation that can be written in the form y = mx + b , where m and b are constants.

Therefore, the required linear equation is the slope intercept form of a linear equation given by y = mx + b.

Learn more about linear equation here :

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Question #3: Can you add the following terms? Why or why not?
3V2 + 2V2

Answers

Yes, it’s because they are like terms. They both have the same variable and exponent. (v^2) Only the coefficients are added together.

So when they’re added, it becomes 5v^2.

James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.

Answers

Answer:2 4 and 5

Step-by-step explanation:

Stuck on this last problem​

Answers

Answer:

A.

Step-by-step explanation:

Since the associate property is grouping and since the only that groups the number differently is A.

6(1/3 x 7/5) changes to (6 x 1/3) 7/5

Hope this helps :)

In the diagram below, BC is an altitude of AABD. To the nearest whole unit, what is the length of CD? ​

Answers

Answer:

C

Step-by-step explanation:

Using the Pythagorean theorem, find BA: [tex]\sqrt{37^{2}+53^{2} } = \sqrt{4178}[/tex]

Making BC = x, find the lenth of BD: [tex]\sqrt{x^{2} +37^{2} }[/tex]

Since DBA is a right triangle, this follows: [tex]DA^{2}=BD^{2}+BA^{2}[/tex]

Substitute: [tex](x+53)^{2} =\sqrt{4178} ^{2} +\sqrt{x^2+37^2} ^{2}[/tex]

Expand: [tex]x^{2} +106x+2809=x^{2} +5547[/tex]

Solve: 106x = 2736

Finally: x ≈ 25.8 ≈ 26

Therefore: C

I need your knowledge.

Answers

Answer:

det(2*3) also det(6)

Step-by-step explanation:

this is just filler so I can send it

PLSSSS JUST SOLVE IT WITH THE INSTRUCTION IT GIVES PLSS THANK YOU

Answers

Answer:

area=47cm²

Step-by-step explanation:

EASY WORK HELP !! Look at the photo

Answers

18 for the first the second is 50 and 60

Answer:

50 yards

Step-by-step explanation:

[tex]\frac{40}{16} = \frac{x}{20} \\ 800 = 16x \\ x = \frac{800}{16} = 50[/tex]

HURRY I GIVE Brainless please hurry you get 100 points!!!Explaining a Rule for Dividing Fractions
Eran the steps you would take to find the quotient of
1/3 divided by 4/3

Answers

Answer:

1/4

Step-by-step explanation:

1/3 divided by 4/3. To divide, flip the fraction on the right.

1/3*3/4. Now you can divide both sides by 3.

1/1*1/4. 1x1/4 which is 1/4

1/4.

Hope this helps :D Please mark brainliest

Hello! c: if you need to write and explain your answer use this because its not a sample response i hope you get an A!

To find the quotient you must first, Find the reciprocal of the divisor and multiply the dividend by the divisors reciprocal.

In this case the answer would be 1/4.

sorry that im asking back to back!!!!

Answers

Answer:

i love ur pfp of bad bleep just wanted to say

Step-by-step explanation:

Farmers market Sells grapefruit strawberries and avocado they each have a different cost and are price per box Alyssa Buys two boxes of strawberries and three boxes of avocados and spent $23 London by three boxes of grapefruit and four boxes of strawberries in Spain $19 Tina by seven boxes of grapefruit and five boxes of avocados in Spencer $51 find the missing quantity below

Answers

Answer:

The cost of grapefruits per box is $3, The cost of strawberries per box is $2.5

The cost of avocados per box is $6

Step-by-step explanation:

Let us represent the price of Grapefruits per box = g

Strawberries per box = s

Avocados per box = a

Alyssa buys two boxes of strawberries and three boxes of avocados and spent $23

2s + 3a = 23 ....... Equation 1

a = 23 - 2s

London buys three boxes of grapefruit and four boxes of strawberries in Spain $19

3g + 4s = 19 ....... Equation 2

Tina buys seven boxes of grapefruit and five boxes of avocados in Spencer $51

7g + 5a = 51..... Equation 3

2s + 3a = 23 ....... Equation 1

3g + 4s = 19 ....... Equation 2

7g + 5a = 51..... Equation 3

Substituting 3a = 23 - 2s in Equation 3

a = 23 - 2s/3

7g + 5(23 - 2s/3) = 51

7g +( 115 - 10s/3) = 51

Multiply through by 3

7g × 3 + ( 115 - 10s/3) × 3 = 51 × 3

21g + 115 - 10s = 153

21g -10s = 38 ........ Equation 4

Combining Equation 2 and 4

3g + 4s = 19 ....... Equation 2 × 10

21g -10s = 38 ........ Equation 4 × 4

30 + 40s = 190.. Equation 5

84g - 40s = 152 .... Equation 6

We Add Equation 5 and Equation 6 to eliminate s

114g = 342

g = 342/114

g = $3

To find s, cost 0f straw berries

g = $3

3g + 4s = 19 ....... Equation 2

3(3) + 4s = 19

9 + 4s = 19

4s = 19 -9

4s = 10

s = 10/4

s = $2.5

For find a, the cost of avocados.

7g + 5a = 51..... Equation 3

g = $3

7(3) + 5a = 51

21 + 5a = 51

5a = 51 - 21

5a = 30

a = 30/5

a = $6

g =$ 3, s =$ 2.5 and a = $6.

Therefore:

The cost of grapefruits per box is $3.

The cost of strawberries per box is $2.5 and

The cost of avocados per box is $6

There are several bowls containing various amounts of grapes on a table. When 12 of the bowls each had 8 more grapes added to them, the mean (average) number of grapes per bowl increased by 6.How many bowls of grapes are on the table?

Answers

Answer:

There are 16 bowls

Step-by-step explanation:

Number of bowls = x

Total grapes added = 12 x 8 = 96

The average increased by 6

So 96/6 = 16

There were 16 bowls of grapes on the table

OR

12 x 8 = 96

96/6=16

Please answer, 50 points and I gotta finish this test
What is the radical in simplest radical form? Please show all steps
sqrt 5/8 (Square root, 5 out of 8 as a fraction)

Answers

The square root of 8 in radical form is represented as √8 which is also equal to 2√2 and as a fraction, it is equal to 2.828 approximately. Squares root of a number is the number, which, on multiplying by itself gives the original number. Since 8 is not a perfect square, hence the value is represented in root form.

Please help and leave a small explanation!

Answers

The answer is C because A and X are in the same place.
C because the angles match up together. Triangle ABC congruent to triangle XYZ. angle A = angle X, angle B is congruent to Y, angle C is congruent to Z. They match up. The vertex’s (B &Y are congruent) because they are both vertex’s. I hope this makes sense.

what is 3 1/2 plzzz help me

Answers

Answer:

7/2 or 3.5 whichever you need

Step-by-step explanation:

Classify the equation 5 (2x + 3) = 3(3x + 12) as having one solution, no solution, or infinitely many solutions.

Answers

Answer: one solution I believe

Step-by-step explanation: I got 21 as my answer and that is one solution

72.678 round to nearest whole number

Answers

Answer:

The answer is 73

Step-by-step explanation:

Searched it up lol. Hope this helps tho!

Answer:

78

Step-by-step explanation:

THE NUMBER BEHIDE THE DECIMAL IS over.500

Can someone plz help me I wanna go to sleepppppp!!

Answers

Answer:

[tex]M_{2}=\frac{F_{g}r^{2}}{GM_{1}}[/tex]

Step-by-step explanation:

To find [tex]M_{2}[/tex], you can manipulate the formula.

[tex]F_{g}=\frac{GM_{1}M_{2}}{r^{2}}[/tex] (given)

[tex]F_{g}r^{2}=GM_{1}M_{2}[/tex]  (times r² on both sides)

[tex]M_{2} = \frac{F_{g}r^{2}}{GM_{1}}[/tex]  (divide both sides by [tex]GM_{1}[/tex])

∴ [tex]M_{2}=\frac{F_{g}r^{2}}{GM_{1}}[/tex] in terms of [tex]F_{g}, G, M_{1}[/tex] and [tex]r[/tex]

Help please and thank you

Answers

Answer:

1. 22

2. 8

3. 31

4. 20

5. 38

6. 22

7. 26

8. 16

9. 14

10. 28

Step-by-step explanation:

USE PEMDAS

P: Parantheses

E: exponents

D: division

A: addition

S: subtraction

and ywww

Bananas are on sale at four different grocery stores.  which store offers the lowest unit rate for bananas, in dollars per pound?

Answers

Answer:

theres not enough info for someone to explain this :) sorry mate

Step-by-step explanation:

Help me please please

Answers

Answer:

Hold a sec I got this

What is the distance between 0.6 and 0

Answers

the answer would most likely be .6

Answer:

on the number its between 0 and 1

Step-by-step explanation:

if you jump from 0 to 6 you would have 6 jumps, so it would be 6.

0.6 equals 0.60 so it could ALSO be 60 jumps. (incase u needed that)

499 to the nearest hundred

Answers

Answer:

the correct answer would be 500

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

hope this helps

The drawing below shows part of an inch ruler. Each inch is broken into smaller pieces to measure more accurately than whole inches. Label each mark on the ruler with the correct fraction

Answers

This is 14 because it shows how to do this problem form elf to right

the graph shows a proportional relationship between a person's total savings in dollars and the number of weeks they have been saving write an equation that models the savings.

the equation y=__ models the savings​

Answers

Answer:

54x

Step-by-step explanation:

The equation y = 45 models the saving.

What is the point-slope form of a line?

If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).

Given the graph of the equation.

Note that the graph passes through points (0,0) and (2,90).

The slope of the line is:

m = (90 - 0)/(2 - 0)

m = 45

The equation of the line with a slope of m = 45 and passes through (0,0) is:

y -0 = 45(x - 0)

y = 45x

Hence, the equation y = 45 models the saving.

Learn more about the point-slope form of a line:

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can you solve 5x = -25





Answers

Answer:

x=-5

Step-by-step explanation:

Divide by 5 on both sides and you get x=-5

Hope this helps mark brainliest if correct

Solve the equation for m: m-n=5

Answers

Answer:

m=n+5

Step-by-step explanation:

You just add n on both sides to get m because m is isolated on one side and variables and numbers on the other side of the equal sign.

Answer:

m=n+5

Step-by-step explanation:

m-n=5

add n on both sides

m=n+5

There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Label your answer in mL.

Answers

Answer:

11355mL

Step-by-step explanation:

It gives you how many milliliters are in one gallon. From there it gives extra information that isn't needed so you skip it and go to the question which is the amount of mL in 3 gallons. So you take the amount from the first sentence (3,785 mL) and multiply it by the amount that they ask in th equestion (3 gal) .

3785*3= 11355

plz help me out quick​

Answers

Answer:

6/5

Step-by-step explanation:

because there is 6 triangle and 5 circle

Please give me the correct answer.​

Answers

Answer x=1/5
6x-3=-9x
-3=-15x
-3/-15x=1/5
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