PLEASE HELP ASAP!
Consider the 720 permutations of the numbers 1, 2, 3, 4, 5, 6. In how many of these permutations do exactly 3 of the numbers end up in the positions where they started?

Answers

Answer 1

The set {1,2,3,4,5,6} has a total of 6! permutations

a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.

b. The next 120, including the 124th, would begin with 2.

c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1

d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3

e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).

Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).

∴ The 124th number is 213564

Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.

Answer 2

The set {1,2,3,4,5,6} has a total of 6! permutations a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit. B. The next 120, including the 124th, would begin with 2. c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1 d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3 e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126). Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and

Related Questions

Which equation represents a linear function?
A. y= 1/2 x to the second power - 5
B. y= 1/2 x to the third power - 5
C. y= 1/2 x + 5
D. y=(1/2) to a power - 5

Answers

Answer:

C. y = 1/2x + 5

Step-by-step explanation:

For A. and B. x to a power of something, if x is at a power of anything, like x^2 or x^3, then it is not linear.

For D. it doesn't even have x in it, so basically y equals a number.

C. is a linear equation, y = 1/2x + 5

The answer is C: y= 1/2 x +5

This is because any slope to a certain power would make it an exponential function.

C. y= 1/2 x + 5 is not to any power, making it linear

Help please god bless you!!!!!

Answers

75 B because there’s a difference of 25 in each temperature interval

The answer is 175 :)

What is the exact volume of the cylinder?

Enter your answer, in terms of π, in the box.

in³

Answers

Answer:

320 pi

Step-by-step explanation:

64 pi times 5 is 320 pi

23•. Is the answer to the question

Look at the pic below for the question please help!!

Answers

answer:

(bh) (hb)

explanation: this is because to be able to find the area of the triangle, you need to know at least the length of two sides and these are the formulas that you could use to get the area

Bh
HB
I think this is the answer

Pls help me so I can pass my math if I don’t pass I’ll get left back

Answers

B i hope this helped and I hope you pass

The answer is B!
I hope this helps, if you have any questions plz contact me! Good luck!

eight workers can clear twenty acres of a field in three days. how many workers are needed to clear fifty acres in five days

Answers

53 workers are needed

hmm….. 53 workers are needed.

What does the point (200,90) represent?

Answers

Answer:

It represents 20 every 9

Step-by-step explanation:

(200,90) The 200 is on the x axis (horizontal, hotdog style), the 90 is on the y axis (vertical). Take whatever you have written on the bottom of the x axis (like feet) and whatever you have on the y axis like (time) and put them together into a sentence. Something like - "after 90 minutes (time) the whatever u r talking about traveled 200 feet (distance.)" <--- THIS IS JUST AN EXAMPLE DO NOT USE THIS.

It is difficult to answer this question without more context. Check the axes and write your answer based on whatever they say.

Hector gave of his money and an additional $1 to Calista. He
gave of his remaining money and an additional $4 to Karen. The
amount of money Hector had left in the end was $31 more than
the amount of money he gave to Karen. Find the amount of money
Hector gave to Calista.

Answers

I think it’s $34 but i’m not sure

$34 also is some of the question missing?

What is x if x + 2y = 10 and y = 3?

Answers

Answer:

x=4

Step-by-step explanation:

Hopefully this will help you

x + 2(3) = 10 , x + 6 = 10, x = 4

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Solve the following equation.
-5 = s- 3

Answers

Answer:

s=-2

Step-by-step explanation:

-5=s-3

+3 +3

-2=s

Hope this helps! :)

Answer:

-2

Step-by-step explanation: I think of it like regular subtraction, you go backwards by 3 to get -5.

HELP PLEASE!!!!!!!!!!!!

Answers

Answer:

The answer is A)4

Step-by-step explanation:

When the line intersects with the y axis, it creates the y-intercept.

Hoped this helped

the image below, what is true about angles 1, 2, and 3?

A. 3 = 37
B. 1 = 37
C. 2 = 37

Answers

Answer:

C. 2 = 37

Step-by-step explanation:

<2 and 37 are vertical angles and vertical angles are equal

Angle 1 and 37 form a straight line so they add to 180

<1 + 37 = 180

<1 = 180-37 = 143

Angle 3 and 37 form a straight line so they add to 180

<3 + 37 = 180

<3= 180-37 = 143

answer is C 2= 37 because the angle properties says that if it is an opposite angle it has the same angles..

write an addition or subtraction equation (your choice!) to describe the diagram.

Answers

Answer:

(-4)- (-9) = -13

Step-by-step explanation:

not sure if it's right so be ware

Answer:

0-4-9= -13

Step-by-step explanation:

Going back 4 spaces from 0 is -4 then after that going back 9 more spaces is an addition to -4 of -9. Which is -13.

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Answers

Answer:

no solutions

Step-by-step explanation:

-6x+12=-6x-12

-6x+6x=12-12

0=0

One solution (zero is a solution)

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

Someone Helppppp how do u do thisss

Answers

It will be 7 if I am right

The number without the variable (the letter x) is referred to as the y intercept. Therefore, it refers to the point along the y axis (up and down). For instance, in the first problem, the y intercept is -3. You would then go down 3 spaces and draw in the point.

The slope always has the x variable next to it. For instance, the slope of the first question is (positive) 2. To graph that, you would go up 2, and to the right one. Then you would repeat.

Find the difference. 7.6 - 5.88

Answers

Answer:

1.72

Step-by-step explanation:

Would end up being the difference.

The difference is -1.72

help quick please please

Answers

Pie time 7.06 squared
156.588
Answer: 156.59 after rounding to 2 DP

I think the answer is 156.59

pls help im almost done. Find the value of x in the triangle shown below.

Answers

Answer:

x = 5

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

12² + b² = 13²

144 + b² = 169

b² = 25

b = 5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

x=5 because the
thero

what is 6x1/2
a. 7/2
b. 7/8
c. 6/12
d. 6/2

Answers

The answer is 3. Is that 1 and half or no ?

6/2. It’s 6 divided by 2 which is 3. 3 is equal to 6/2

Please answer correct

Answers

Answer:

104280

Step-by-step explanation:

(22×78×70×) - (22×20×36)

104280

I hope that is correct

Answer:

I'm pretty sure the answer is 4740. (Sorry if im wrong)

Step-by-step explanation:

On a coordinate plane, a line goes through points (0, 1) and (4, 2). What is the slope of the line? m =

Answers

Answer:

m= [tex]\frac{1}{4} \\[/tex]

Step-by-step explanation:

Use the slope formula to get your answer. (m = y₂ - y₁ / x₂ - x₁ )

x₁ = 0

y₁ = 1

x₂ = 4

y₂ = 2

When you insert them into the formula, you get

m= [tex]\frac{2 - 1}{4 - 0}[/tex]

which equals [tex]\frac{1}{4}[/tex].

the answer would be 1/4

Please help
Select the correct answer from the drop-down menu.

This graph represents the inequality

x + 2 < 4

2x > 3

x + 6 < 12

2x > 12

if you dont know the answer please dont answer it

Answers

Answer:

x+6<12

Step-by-step explanation:

Since it is going left from 6, we know that x must be less than 6

(if u need me to explain more I can)

Answer:

It is the third option

going left from 6, we can see that x must be less than 6

Step-by-step explanation:

See image below:)

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Answers

Answer:

Step-by-step explanation:

Follow thw line to the segment

Answer:

Step-by-step explanation:

Look at the image below.
I give Brainliest
Answer the questions.

Answers

Answer:you do every number plus 24 and that’s how you get it

Step-by-step explanation:

The answer is 415, 439, 559

What is the area of this triangle

Answers

Answer:

266

Step-by-step explanation:

Answer:

A = 1/2bh

= 1/2 x 10 x 24

= 120

Help plz god bless you!

Answers

Answer:

H) -π is the answer

Step-by-step explanation:

When you make all the choices into decimals , you realise that pie is the lowest value.

Find the mean, median, and mode of the data set. Round to the nearest tenth.

5, 7, 2, 6, 7, 10, 12, 7, 9, 13, 5

Answers

Answer:

The mean is 7.5.

The median is 7.

The mode is 7.

Step-by-step explanation:

To find the mean, add up all the numbers in the data set and then divide the sum by the total number of values.

5 + 7 + 2 + 6 + 7 + 10 + 12 + 7 + 9 + 13 + 5 = 83

83 divided 11 equals 7.5.

To find the median, arrange all the numbers in the data set from smallest to largest and then find the number that is in the middle of the set.

To find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode.

the mean is 7.5 the median is 7 and more is 7

GIVING OUT BRAINLIEST / 70 POINTS TO ANSWER

Answers

Answer:

7a+b-9c+17d

Step-by-step explanation:

-5 ( a-2b+3c -4d) - (-3) (4a -3b+2c-d)

Distribute

-5a+10b-15c+20d+12a-9b+6c-3d

Combine like terms

7a+b-9c+17d

7a + b - 9c + 17d

step-by-step explanation

(- 5)( a - 2b +3c - 4d ) - (-3)( 4a - 3b+2c - d )

- 5( a - 2b + 3c - 4d ) - (-3)( 4a - 3b + 2c - d)

Using Distributive property

- 5a + 10b - 15c + 20d + 12 a - 9b + 6c - 3d

Arranging like terms together

- 5a + 12a + 10b - 9b -15c + 6c + 20d -3d

7a + b - 9c + 17d

ABCDEFGH is a rectangular prism with CD=5, AD=6, and AE=8. Find the volume of tetrahedron ABCF.

Answers

Answer:

Step-by-step explanation:

the volume of tetrahedron ABCF =

⅓× ½×5×6×8 = 40

The volume of the given tetrahedron ABCF will be 40 cube units.

What is a tetrahedron?

A tetrahedron is a polyhedron having four faces, six edges, and four vertices, all of which are triangles. It is also known as a triangular pyramid with a triangle base.

The ABCDEFGH is a rectangular prism given in the question, which has :

CD = 5, AD = 6, and AE = 8

We have to determine the volume of tetrahedron ABCF.

As per the question, the required solution would be as:

The volume of tetrahedron ABCF = 1/3 × 1/2 × 5 × 6 × 8

Apply the multiplication operation, and we get

The volume of tetrahedron ABCF = 40 cube units

Thus, the volume of the given tetrahedron ABCF will be 40 cube units.

Learn more about the tetrahedron here:

https://brainly.com/question/17132878

#SPJ2

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Answers

Answer:

Step-by-step explanation:

the answer is D. y=1/2x+1

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PLEASE HELP ASAP! Consider the 720 permutations of the numbers 1, 2, 3, 4, 5, 6. In how many of these permutations do exactly 3 of the numbers end up in the positions where they started?

Answers

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PLEASE HELP ASAP!
Consider the 720 permutations of the numbers 1, 2, 3, 4, 5, 6. In how many of these permutations do exactly 3 of the numbers end up in the positions where they started?