Find the number of ways of arranging N people in a straight line, if two particular people must always be separated.​

Answers

Answer 1

Answer:

It’s the number of ways N people can be arranged in a straight line without restriction minus the number of arrangements in which the 2 people are together.

The number of ways N people can be arranged in a straight line without restriction = N!

The number of arrangements in which the 2 people are together = the number of possible positions for the left-hand person multiplied by the number of people who can be that person, multiplied by the number of possible arrangements for the other N - 2 people

= (N - 1) * 2 * (N - 2)!

= 2 (N - 1)!

So the number of ways N people can be arranged in a straight line if 2 particular people must be separated = N! - 2(N - 1)!


Related Questions

How does the graph of g(x) = (x + 5)3 - 9 compare to the parent function f(x) = x3?
g(x) is shifted 5 units to the left and 9 units down.
g(x) is shifted 9 units to the left and 5 units down.
g(x) is shifted 5 units to the right and 9 units down.
g(x) is shifted 9 units to the left and 5 units up.

Answers

a

Step-by-step explanation:

five to left and 9 to down

Is the answer A


Hopefully that helps youuu!!

Dad is getting food ready for my birthday party! Including me, there will be 16 people at the party. Dad is baking cookies for us! He can bake 20 cookies per batch.

How many batches should I tell Dad to make so we can each have 3 cookies?

Answers

I don’t know the answer but have a good day

Answer:

he has to cook 3 batches of cookies

Anybody good in pre calculus and know this?

Answers

Answer:

x^2-9x-8

Step-by-step explanation:

=x^2-(3)^2-(2)^3

=2(x-3-4)

=2(x-(-1))

=2(x+1)#

what is the probability of reaching into the bag and picking a red marble and then drawing again (without replacing the marble you picked the first time) and picking a red marble. Please help. i have acellus btw

Answers

Answer:

To solve you would need the exact number of all colored marbles

ANSWER NUMBER 3 ASAP PLS I HAVE SCHOOL IN AN HOUR WILL GIVE BRAINLY

Answers

Answer:The solution is in the attached file

Step-by-step explanation:

3 subtract 1 and 1/2 C ​

Answers

Answer:

1 - 1/2 = 1/2

Step-by-step explanation:

Please help: is the square root of -9 a whole number, integer, rational., or irrational?

Answers

Answer:

Step-by-step explanation:

None of the above.

It is a complex number.  The sqrt(-9) is defined as 3i.

i is a definition brought into existence to represent the square root of -1. There is nothing at this level of math that you can point to and say this is the physical thing that is the square root (-1). It is just a math/physics definition.

Eliana made cookies. She used 8 12 of a cup of flour and 6 12 of a cup of sugar. How much more flour than sugar did Eliana use?

Answers

Answer:

2/12 the answer

HURRY PLS HELP ILL GIVE BRAINLYEST Subtract.

525−(−2415)

Enter your answer as a simplified mixed number by filling in the boxes.

Answers

Answer:

2940

Step-by-step explanation:

You are subtracting a negative number. "Minus a negative is plus."

525 - (-2415) = 525 + 2415 = 2940

Answer:

-2940

Step-by-step explanation:

What does additive inverse mean?

: a number that when added to a given number gives zero the additive inverse of 4 is −4 — compare opposite sense 3.

So, This Means Were Keeping The (-) Sign Make Sure When You Answer

A Question In Class Or Quiz Your Always Keeping The Bigger Number's Sign

Plz help with 4!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A (-5,3)

B (3,4)

C (2,-1)

D (3,-5)

E (-3,-4)

F (-2,1)




what is the purpose?

[tex] \\ [/tex]

Answers

TeX was designed with two main goals in mind: to allow anybody to produce high-quality books with minimal effort, and to provide a system that would give exactly the same results on all computers, at any point in time (together with the Metafont language for font description and the Computer Modern family of typefaces) ...

Answer:

I hope it will helpful.

Step-by-step explanation:

I hope it will help you.

2x-ky=14 and 5x-2y=5
In the system above, k is a constant and x and y are variables For what values of k will the system of equations have no solution.​

Answers

Answer:

Step-by-step explanation

In these type of questions we can use a trick to find answer

let's say we have two linear equation

1) ax+by+c=0

2)mx+ny+t=0

if  a/m = b/e ≠ c/f  that means we don't have any solution for these two equations ( that's because of analitic geometry)

so,

2x-ky-14=0

5x-2y-5=0

2/5=k/2≠14/5  k=5

If k is 4/5, the system of equations will have no solution because the lines are parallel.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The system will have no solution if the two equations represent parallel lines, because parallel lines do not intersect.

To determine if the lines are parallel, we can compare the slopes of the two lines.

The slope of the first line is 2, since it is the coefficient of x when we solve for y:

2x - ky = 14

ky = 2x - 14

y = (2/k)x - 14/k

The slope of the second line is 5/2, since it is the coefficient of x when we solve for y:

5x - 2y = 5

2y = 5x - 5

y = (5/2)x - 5/2

Therefore, the two lines are parallel if the slopes are equal:

2/k = 5/2

4 = 5k

k = 4/5

So, if k = 4/5, the system of equations will have no solution because the lines are parallel.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

what is the answer for 4 1/5 × 3/7

Answers

Answer:

9/5

Step-by-step explanation:

4 1/5 × 3/7•change 4 1/5 into an improper fraction21/5 × 3/7= 63/35= 9/5

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

9/5 or 1.8 or 1 4/5

Step-by-step explanation:

16. Compute: 0.478 -0.03
Answer:

Answers

Answer:

0.448

Step-by-step explanation:

i used a calculator

Find the cube root of 15625 by finding their ones and tens digit.​

Answers

Answer:

25

Step-by-step explanation:

The factors of 15625 are = 5 * 5 * 5 * 5 * 5 * 5. =25 * 25 * 25 Þ the cube root of 15625 is 25.

Evaluate the expression

x^2 (y - 2)
—————, if x=3, and y= -1
3y

Answers

Answer:

9

Step-by-step explanation:

(3)^2((-1)-2)/3(-1)

=9(-3)/-3

=-27/-3

=9

Answer:

[tex]\huge\boxed{\sf 9}[/tex]

Step-by-step explanation:

[tex]\displaystyle = \frac{x^2(y-2)}{3y} \\\\Put \ x = 3, \ y = -1\\\\= \frac{(3)^2(-1-2)}{3(-1)}\\\\= \frac{9(-3)}{-3} \\\\= 9 \\\\ \rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

38 is 95% is what number?

Answers

Answer:

40

Step-by-step explanation:

let the number be 'x'

95 % of x = 38

(95 / 100)x =38

x = 38 × 100 / 95

x = 2 × 100 / 5

x = 2 × 20

x = 40

1 How do you construct a regular polygon inside of a circle?

Answers

Answer:

Step-by-step explanation:Draw a straight line using the protractor. This will be the center line of your circle (dividing it into semi-circles).Align the protractor so that both 0° and 180° lie on the center line. Mark the center point.Trace the semicircle along the protractor from 0 ° to 180°.

Put the protractor on the other side of the center line, again with both the 0°and 180° marks on the center line.[1]Complete the circle by tracing along the protractor.

Calculate the angle between adjacent vertices, α. Since a circle has 360°, divide 360° by n, the number of vertices (or sides) to get α.[2]

α=360°/n

α is the measured angle between lines drawn from the center of the circle to adjacent vertices.

For a dodecagon, n=12. A dodecagon has 12 sides and 12 vertices, so 360° divided by 12 is 30°, and α=30°.

Mark a point for each of the successive angles. Using the protractor, mark on the circumference of the circle all the multiples of angle α calculated above.[3]

Join the points marked on the circle with a line segment.[4] For a dodecagon there should be 12 marks and 12 sides, because it has 12 vertices. Don’t overlap the line segments.

If your points are outside of the circle, then simply mark another point along the radial line from the center onto the circle for each point and then join them.

Check to see that the sides are the same length. If they are, you can erase the circumscribed circle.Finished.


What is the range of the function shown on the graph above?
A. -8 y -3
B. -8 y -3
C

Answers

Answer:

i got u c

Step-by-step eplanation:

Using exponential notation

Answers

Hello there!

Law of Exponent

[tex] \displaystyle \large{ {a}^{ \frac{m}{n}} = \sqrt[n]{ {a}^{m} } }[/tex]

The first problem asks us to write the cube root of 17 in exponential form. Refer the exponent's law above.

[tex] \displaystyle \large{ \sqrt[3]{17} = \sqrt[n]{ {a}^{m} } }[/tex]

Compare the terms.

a = 17m = 1n = 3

Hence,

[tex] \displaystyle \large{ \sqrt[3]{17} = {17}^{ \frac{1}{3} } }[/tex]

The second problem asks us to write 13^{1/2} in radical form. Refer the law above.

[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = {a}^{ \frac{m}{n} } }[/tex]

Compare the terms.

a = 13m = 1n = 2

Hence,

[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = \sqrt{13} }[/tex]

Conclusion

First answer is 17^{1/3}Second answer is √13

Let me know if you have any questions!

Topic: Exponent / Fractional Exponent and n-th root /

-5x-6. pls answer ill mark you brainliest

Answers

Answer:

This is not an equation. So it's not possible to find the value of x..

help me plzzzzzzzzzzz ​

Answers

Answer:

x = 18°

Step-by-step explanation:

∠AOB and ∠BOD form linear pair of angles, so they are supplementary, i.e., their sum is 180°.

130° + (2x + 14)° = 180°

=> 130° + 2x° + 14° = 180°

=> 2x° = 180° - 130° - 14°

=> 2x° = 36°

=> x = 36°/2°

=> x = 18°

x=18 degrees


I hoped this helped

-2, 7, 16 ..... Determine the general rule (Tn) for this sequence ​

Answers

Answer:

It is Tn = 9n - 11

Step-by-step explanation:

It is an arithmetic progression:

[tex]T_{n} = a + (n - 1)d[/tex]

a is the first term, a = -2

n is number of terms

d is common difference, d = 7-(-2) = 9

[tex]T_{n} = - 2 + \{ (n - 1) \times 9 \} \\ T_{n} = - 2 + 9n - 9 \\ T_{n} = - 11 + 9n \\ T_{n} = 9n - 11[/tex]

Answer:

[tex]T_{n}[/tex] = 9n - 11

Step-by-step explanation:

There is a common difference between consecutive terms, that is

7 - (- 2) = 16 - 7 = 9

This indicates the sequence is arithmetic with nth term

[tex]T_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 2 and d = 9 , then

[tex]T_{n}[/tex] = - 2 + 9(n - 1) = - 2 + 9n - 9 = 9n - 11

[tex]\frac{7}{8} + \frac{3}{4}[/tex]

Answers

Answer:

Step-by-step explanation:

7/8 + 3/4

7/8 + 6/8

13/8 = 1 5/8

What is the answer to 11 - ( - 13)

Answers

Answer:

24

Step-by-step explanation:

Two negatives make a positive.

11 + 13 = 24

Answer:

24

Step-by-step explanation:

= 11 - ( -13 )

According to sign conventions, - ( - ) = +

= 11 + 13

= 24

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

Please help me thank you

Answers

1 to 5 - 3

6 to 10 - 4

11 to 15 - 1

16 to 20 - 2

What time is shown on the clock?

Answers

Answer:

it is 11:00 o'clock

havea great dayy

Answer:

11:00 o'clock

have a great day God bless you

simplify each expression

Answers

Answer:

[tex] {x}^{ \frac{1}{2} } \times {x}^{ \frac{2}{3} } [/tex]

[tex] {x}^{ \frac{3 + 4}{6} } [/tex]

[tex] {x}^{ \frac{7}{6} } [/tex]

m/7 -4=3 help I'm either slow or this is easy..

Answers

Answer:

m=49

Step-by-step explanation:

m/7 = 3+4

m/7 = 7

m=49

P.S.  If you like my answer ,Can you please give me brainlist?

PLZ HELP 20 POINTS I really need help and show the work if you got it right cause i want to know

Answers

idek how they got that , but yk when you got it wrong you could see how to get the answer, you have check answers right?
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