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

Can someone answer these for me (real answers only please) thank you!!!!!!

Answers

Answer:

5. an increase and then decrease; the spike in visitors could be because of the start of summer

6. December is around Christmas, where most people would have holiday

7. (I'm not sure)

5 is a increase and then a discrease 6 and 7 ugh I can’t think

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

which angles are adjacent to each other ? Select all the apply

Answers

Answer:

angle 3 and 4

angle 2 and 3

Answer:

its the 3rd and 4th one

Step-by-step explanation:


Abby is 4 – feet tall. Craig is 4 feet tall.
a. Who is taller?
b. How much taller is this person? Show your work.

Answers

A. Craig is taller
B. The positive is higher than the negative value

Answer:

They the same height my guy no difference

Step-by-step explanation:

1.) 7+7/9x=−42 2.) 4x+1=−15 3.)−4(x−3)=−40

Answers

Answer:

1) x= -1/27

2) x=-4

3) x=13

Step-by-step explanation:

1) 7+7/9x= = -42

   14/9x= = -42

  14/9x X 9x= -42 X 9x

    14= -378x

    -378x= 14

   -378x/-378= 14/-378

      x= -1/27

2) 4x+1=−15

 4x+1-1=-15-1

    4x=-16

   4x/4= -16/4

      x=-4

3) −4(x−3)=−40

 -4(x-3)/-4= -40/4

     x-3=10

   x-3+3=10+3

        x=13

Which value is equivalent to the expression 2 to the 3rd power + 3 to the 4th power??

a) 18
b) 72
c) 78
d) 89

Answers

89 is the correct answer

Answer:

89

Step-by-step explanation:

2^3 + 3^4

=8 + 3^4

=8 + 81

=89

The quadratic function h(t) = −4.9t^2 + 50t + 2 represents the height, in meters, of a toy rocket t seconds after launch. How many seconds will it take the toy to reach the ground? State your answer to the nearest whole second.

Answers

Answer:

The toy reaches the ground in 10 sec

Step-by-step explanation:

When the rocket hits the ground, h becomes zero (0).  Thus, our problem here is to solve the equation h(t) = −4.9t^2 + 50t + 2 = 0,

Because of the fractional coefficient -4.9, it's best to use the quadratic equation here.  The coefficients of the t terms are {-4.9, 50, 2}.  Thus,

the discriminant is b^2 - 4ac  = 50² - 4(-4.9)(2) = 2539.2, and the square root of this is 50.39.

The quadratic formula is as follows:

      -b ± √discriminant

t = -------------------------------

                 2a

which here is:

      -50 ± 50.39

t = ------------------------      Since t represents time, only the positive result

               -9.8                 is relevant here; it is 10.24 sec,

which rounds off to 10 sec

The toy reaches the ground in 10 sec

it reaches the ground in 10 sec

A football player attempts to kick a football across a field. The path of the football can be modeled by the function h(x) = − 1/225 x^2 + 2/3 x, where x is the horizontal distance from the kick, and h(x) is the height of the football above the ground, when both are measured in feet. How far from the kicker will the football land?

Answers

Answer :
1+ 150 -
225x

connor found out that 60% of 40 is the same as 25% of the number n. what is the value of n?

Answers

Answer:

96

Step-by-step explanation:

Step 1: Multiply 60% by 40

40 x .60 = 24

24 is 60 percent of 40

Step 2: If 24 was 25% of n, then we have to divide 100 by 25 to see how much we have to multiply 24 by.

100 ÷ 25 = 4

Step 3: Multiply 4 by 24

4 x 24 = 96

The answer is 96 :)

Hope this helps :)

-jp524

The answer is 96 because I ma smart

Gavin needs 7/8 gallons of paint to finish painting his deck. He has 0.06 gallon of paint. Does he have enough. Why or why not? ​

Answers

Noooo,,,hw havent enough…
0.06 or 6/100 so is less than 7/8
no he doesn’t have enough 7/8 is about 87.5/100 while .06 equals to 6/100

Please, help me with this question. It is due soon. Also have a great evening!

And remember if you don’t know the answer or don’t understand it and just want points don’t even bother to write a “ANSWER” down because it is irritating and annoying and it lastly wastes my time and has no help towards me!!!!

Answers

Answer:

Step-by-step explanation:

The point that represents the data in the fourth column has the coordinates: (13, 9)

How many points would be shown on a scatter plot of these data?: 5

13,9 is the answer ok I hope this helps

The area of the rectangular floor in Tamara's room is 95 5/6 square
feet. The width of the room is 8 1/3 feet. What is the length of Tamara's
room?

Answers

It would be 11 1/2 ft.
Area = Length x Width
95 5/6 = L x 8 1/3
95 5/6 divided by 8 1/3
= 11 1/2 ft

Pls help me so I can pass

Answers

No idea but good luck
It is constant because they are going in the same line.

Valencia climb 25 feet up a rock wall and then climbs 12 feet down to a landing area. The number of feet Valencia climbs can be represented using the expression |25| + |-12|. How many feet does Valencia climb?

Answers

Answer:

37

Step-by-step explanation:

[tex] | - 12| = 12[/tex]

the absolute value is always positive. imagine it as "how much away from zero"

37 is the answer I’m pretty sure

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

Which of the following are needed to make an expression?

A. variable(s)
B. number(s)
C. equal sign
D. operation(s)

Answers

Answer:

variables is the correct answer

Answer:

ALL OF THE ABOVE

Step-by-step explanation:

An expression is a syntactic construct. It must be well-formed: the allowed operators must have the correct number of inputs in the correct places, the characters that make up these inputs must be valid, have a clear order of operations, etc.

It can be all of the above too. because everything is needed to make an expression.

Got this answer from Gauthmath. Awesome app in my opinion . If you want it download it from Play Store and App Store. You get answers from tutors.

Hope this helps.

edit:- I can't put the link here otherwise I would have showed you the correct anwer. :(

Plz help will be marked BRAINLIEST

Answers

Answer:

a-45

b-30

c-90

Step-by-step explanation:

blue shape-90 degree angle

pink is 45 since 2 make up a quadrant

aqua is 30 because half 2 quadrants equal 180.

180-(45x2)=90

90/3=30

hope this helps!

The answer above is correct……………………………..,,,,

The ratio of boots to shoes is 1 to 3. If there are 6 boots, how many shoes are there?

Answers

Answer:

2 shoes helpful answer to your question

Answer:

shoes =18

Step-by-step explanation:

let shoes be x

ratio of bots to shoes =1:3

boots/shoes =boots/shoes

1/3 = 6/x

do cross multiplication

6*3=x

18=x

X=5 then 3x + 2 =


Pls help I don't know

Answers

Answer:

17

Step-by-step explanation:

Substitute "x" for "5" in the equation

3(5) + 2

15 + 2

17

Answer:

3x + 2 = 17

Step-by-step explanation:

x = 5

3x + 2

plug in 5 for x

3(5) + 2

multiply

15 + 2

add

17

Therefor

3x + 2 = 17

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

Need help with these 2 questions ASAP, no links and a answer with an explanation will get brainly

Answers

Answer:

Yes, Fiona is correct

Step-by-step explanation:

WHen the pythagorean theorem is applied to the side lengths (2^2 + 4^2 = c^2), the result for c^2 is 20. The correct answer would be sqrt.20. But Fiona is also correct becuase sqrt of 20 can be simplified to sqrt.4 * sqrt.5; which equals 2*sqrt.5

oh yes we did that to you and the other ppl who did not 1-1

Simplify the expression. (1)/(2)(-(5)/(6)+(1)/(3))

Answers

Answer:

0.5

Step-by-step explanation:

The answer to that is 0.5 I am pretty sure

help 15 points (i have to write 20 characters so don't mind this )

Answers

the answe is A 112 square units

Answer:

C

Step-by-step explanation:

First find the area of the entire figure.

L= 36

W = 20

Area = 36 * 20 = 720

Find the area of the left right triangle.

Height = 20

Base = 1/2 * 36 = 18

Just as an aside, let me be a little grumpy for a moment. You should never have to guess what a dimension is on a diagram. It's sloppy. However for this problem you have no choice. But you could think to complain to your teacher.

Area = 1/2 * base * height

Area = 1/2 * 18 * 20 = 180

Find the area of the bottom right triangle.

The height is 1/2 20 = 10

The base is 36

Area of the lower triangle = 1/2 * 36 * 10 = 180

Area of the shaded figure = 720 - 180 - 180 = 360

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 the science test, Lucy got 3 questions
wrong, each of which were worth 4 points. On
the same test, she earned 5 extra credit points.
What was the change it point value from missed
questions and extra credit? Write your answer
as an integer.

Answers

Answer:

-7

Step-by-step explanation:

She lost 12 points, 3 * 4 = 12, and she gained 5 points, so -12 + 5 = 5 - 12 = -7

Answer:

-7

Step-by-step explanation:

The temperature in Wisconsin is -4 degrees Fahrenheit on Friday. Use the expression 5 (F-32) over 9 to find this temperature in degrees Celsius. Then explain its meaning.

Answers

Answer:

5(-4 - 32)/9 = -20˚C

Answer:

5(-4 - 32)/9 = -20˚C

Step-by-step explanation:

Plz help will be marked BRAINLIEST !!!

Answers

Answer:

Angle 1 : h

Angle 2 : k

Step-by-step explanation:

Two angles are called complementary if their measures add to 90 degrees

Angle i and angle f are complementary angles as they add up to 90 degrees

If the x value of a measurement on a chart decreases and then increases and the y value increases, then decreases and increases again is the rate of change positive or negative? the rate of change is 1 btw

Answers

Answer: Photo math might be able to help you

Step-by-step explanation:

the rate of change is negative

PLS HELP!!
2. At a fair, each person can spin two wheels of chance. The first wheel has the numbers 1, 2, and 3. The second wheel has the letters A and B. (d) List all the possible outcomes of the compound event. (e) If you spin both wheels, what is the probability that you get either a 1 or an A? Explain.

Answers

40% because there are 5 opinions and the probability of get one of the is 2 out of 5 making it 40% geting between An A or 1
The one 40% hehehehhshehehehehheehhehehehehe

I NEED HELP ASAP!!!!! pls and thank you ^w^

Answers

1. Like fractions
2. Equivalent fractions
3.least common demnominator
4.mixed number
5.unlike fractions
1. Like fractions
I double checked myself
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