How many distinct rearrangements of the letters in "sleepless" are there?

Answers

Answer 1

Answer:

[tex]N = 5040[/tex]

Step-by-step explanation:

Required

Arrange the letters of "sleepless"

First, we count the number (n) of characters

[tex]n = 9[/tex]

First, we count the number (n) of repeated characters

[tex]s = 3[/tex]

[tex]e = 3[/tex]

[tex]l = 2[/tex]

The arrangement (N) is then calculated as follows;

[tex]N = \frac{n!}{s!e!l!}[/tex]

This gives:

[tex]N = \frac{9!}{3!3!2!}[/tex]

[tex]N = \frac{9*8*7*6*5*4*3*2*1}{3*2*1*3*2*1*2*1}[/tex]

[tex]N = \frac{362880}{72}[/tex]

[tex]N = 5040[/tex]

Hence, there are 5040 distinct arrangements


Related Questions

A flagpole casts a shadow that is 24 ft long at the same time you cast a shadow that is
4.5 ft long. If you are 6 ft tall, how tall is the flagpole?

Answers

Answer:

32 ft tall

Step-by-step explanation:

24 divided by 4.5 is 5.3 repeating. 6 times 5.3 is around 32

Cecilia packed a fruit basket for her new neighbors. If 20% of 30 pieces of fruit were bananas, what fraction of the fruit were bananas? Help!

Answers

Answer:

6/30

Step-by-step explanation:

20 percent of 30 is 6 ^_^

6/30 or if you want it in simplest form it would be 1/5

What is the slope of line that passes through the points (-3, 5) and (0, -1).

Answers

Answer:

[tex]m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-3, 5)

Point (0, -1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute [SF]:                    [tex]m=\frac{-1-5}{0+3}[/tex]Subtract/Add:                      [tex]m=\frac{-6}{3}[/tex]Divide:                                 [tex]m=-2[/tex]

Ya'll hows this drawing that I made look I wored realky hard on it​

Answers

Answer:

i LOVE ITTTTTTTTTTTTTTTTTTTTTTT

Step-by-step explanation:

Answer:

its cute

Step-by-step explanation:

have a nice day :)

What is the slope of the graph of
4x + 3y = 15?

Answers

Answer:

-4/3

Step-by-step explanation:

y=mx+b

3y=-4x+15

y= -4/3 x +5

m is slope b is y intercept

determine whether the decimal is terminating repeating or irrational 0.4286

Answers

Answer:

irrational decimal

Step-by-step explanation:

It can't be repeated, can't go on forever, so it is an irrational decimal.

The new owners of Bluegrass Natural Foods, Inc., have hired you to help them diagnose and cure problems that the company has had in maintaining adequate liquidity. As a first step, you perform a liquidity analysis. You then do an analysis of the company’s short-term activity ratios. 3
Your calculations and appropriate industry norms are listed.
Current ratio bluegrass 4.5 industry norms 4.0
Quick ratio bluegrass 2 industry norms 3.1
Inventory turnover bluegrass 6 industry norms 10.4
Average collection period bluegrass 73 days industry norms 52 days
Average payment period bluegrass 31 days industry norms 40 days

a. What recommendations relative to the amount and the handling of inventory could you make
to the new owners?
b. What recommendations relative to the amount and the handling of accounts receivable could
you make to the new owners?
c. What recommendations relative to the amount and the handling of accounts payable could you
make to the new owners?

Answers

Answer:

I don't understand make is more simplify

(2^2*3)+(6*3) Plzz tell me fast

Answers

Answer:

30

Step-by-step explanation:

(4×3) + (6×3)

(12) + (18)

= 30

Lines L and M are parallel. Like L can be represented by the equation 3x+4y=8. If line M passes through the point (2, -5), which equation can be used to find the equation of line M?

A) y-5= -3/4(x+2)
B) y+5=4/3(x+2)
C) y-5=4/3(x+2)
D) y+5=4/3(x-2)

Answers

Answer:D

Step-by-step explanation:

Your school carnival charges $2 for admission and $.50 for
each game. You go to the carnival with $5.50. Write and solve
an inequality that represents the possible number of games
you can play. What is the maximum number of games you can
play?

Answers

3.50 i think cause it’s .550 - 350

Answer:

you give $2 for admission so that is $3.50 now you can ride 2 games per ride and the total will be riding 7 games

The amount of Jen’s monthly phone bill is normally distributed with a mean of $75 and a standard deviation of $8. What percentage of her phone bills are between $51 and $99?
A. 99.7%
B. 95%
C. 99.99%
D. 68%

Answers

Answer:a is the answer

I need help again please​

Answers

Answer:

I think it's the third one.

Answer:

C

Step-by-step explanation:

20 Points!!! Lisa writes 15 pages of a research paper. If she has written 75% of her goal, what is the total number of pages that she wants to write?

Answers

Answer:

I believe that her goal is 20 pages because 75% of 20 is 15.

Step-by-step explanation:

Ariel bought 3 raffle tickets for $5. How many tickets could Ariel
buy for $15?

Answers

Answer:

9 raffle tickets

Step-by-step explanation:

Because  3 raffle tickets are $5

and to find out the number of tickets you can buy with $15 you have to

divide $15 by $5 which is 3

then multiply the 3 times 3 to get 9 raffle tickets

Have a great day, I hope this is helpful to you.

Answer:

9

Step-by-step explanation:

3=5 6=10 9=15

Solve the equation.
x² + 6x+15=0

Answers

Answer:

x = -3 + i√6 and x = -3 - i√6

Step-by-step explanation:

Let's apply the "completing the square" method to find the roots of this equation.

Take half of the coefficient 6 of x, square it and add this result to x^2 + 6x.  Then subtract the same quantity:

x^2 + 6x + 15 becomes

x^2 + 6x + 3^2 - 3^2 + 15 = 0

Rewriting the first three terms as the square of a binomial, we ge:

(x + 3)^2 - 9 + 15 = 0, which simplifies to:

(x + 3)^2 + 6 = 0, or (x + 3)^2 = -6

Taking the square root of both sides:

x + 3 = ±i√6

Then the two roots are complex:

x = -3 + i√6 and x = -3 - i√6

Would appreciate some help first to answer gets brainliest

Answers

the correct answer is B

What is the ordered pair that represents the solution to the system of equations shown below?

2x + y = 7

10x - 6y = 46

Answers

The answer is
Y= -1
X= 4

please help me with this please ​

Answers

First one is A
Second one is C
Third one is B
Trust me

The graph y=f(x) is graphed below. What is the end behavior of f(x)?

Answers

Answer:

as x → -∞, y → ∞ and as x → ∞, y → -∞

Step-by-step explanation:

Just check the first quadrant of the given graph.

In the first quadrant, when x gets smaller, the value of y is increasing to positive infinity.

In other words, as x → -∞, y → ∞

Now, observe the behavior of the graph in the 4th quadrant.

In the 4th quadrant, when x gets larger, the value of y is decreasing to negative infinity.

In other words, as x → ∞, y → -∞

Therefore, the behavior of f(x):

as x → -∞, y → ∞ and as x → ∞, y → -∞

Therefore, option (C) is true.

The end behavior of a graph is defined as what is going on at the ends of each graph when the function approaches positive or negative infinity.

End behaviour of given graph is,  x⇒ -∞ then y⇒∞ and x ⇒∞ then y⇒ -∞

Since, here a  graph is attached.

From graph it is observed that, when x tends to negative side, graph is going to upward direction. and when x tends to positive side then graph is going to downward direction.

So, when  x tends negative infinity then y tends to positive infinity.

when x tends to positive infinity then y tends to negative infinity.

Therefore, end behaviour of given graph are,

                    x⇒ -∞ then y⇒∞ and x ⇒∞ then y⇒ -∞

Learn more:

https://brainly.com/question/14962400

BRANDI WANTS TO CALCULATE THE AVERAGE SPEED
OF A CAR THAT TRAVELED 275 MILES IN THREE
HOURS. WHICH FORMULA BELOW IS CORRECT?
A. S = 3 x 275
B. S = 3/275
C. S = 275/3
D. S = 3-275
MISTER SCIENCE

Answers

Answer:

C. S = 275/3

Step-by-step explanation:

The formula for speed is S = d/t

The d is = 275

The t is = 3

So S = 275/3

Hope this helps ya!!

Lynn paid $94 for 6 meals how much would 9 meals cost

Answers

141 dollars because you have to do 94 divided by 6 and times that answer by 9

This graph shows the distance that a robot walks. What is the robot's speed?
Waliking Time and Distance
2 3 4 5
Time (minutes)
OA 10 feet per minute
OB. 5feet per minute
Oc. 30 feet per minute
OD. 20 feet per minute

Answers

Speed = Distance divided by time or d/t
I don’t see a graph

The speed of the robot from the graph is m = 10 feet per minute

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let y represent the distance of the robot

Let x represent the time taken

Let the first point be P ( 1 , 10 )

Let the second point be Q ( 2 , 20 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The slope of the line will give the speed of the robot

Substituting the values in the equation , we get

Slope m = ( 20 - 10 ) / ( 2 - 1 )

m = 10 feet per minute

Hence , the speed is 10 feet/min

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

The complete question is attached below :

This graph shows the distance that a robot walks. What is the robot's speed?

Walking Time and Distance

2 3 4 5

Time (minutes)

A) 10 feet per minute

B) 5feet per minute

C) 30 feet per minute

D) 20 feet per minute

Nineteen less than four times a number is greater than forty-seven.
Please i will give away all my points to the person that answers this in number form thanks

Answers

Answer: pretty sure it's the number you multiply by 4 is 17

Step-by-step explanation:

when you multiply 4 and 16 you'll get 64 then you subtract 19 and get 45 which is less than 47 so by reasoning if you were to multiply 4 and 17 you'll get 68 then you subtract 19 from 68 and you should get 49 ( you didn't include how much greater than 47 the number should be but the safest bet would be to use 17)

in 2017, the price of a Forever stamp from the United States Postal Service was $0.49. How many Forever stamps could be purchased for $30.38?

Answers

62 stamps
explanation: 30.38/.49=62

A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is
proportional, how many calories are there in 180 crackers?
x х
12
15
y
60
75
36 calories
108 calories
720 calories
900 calories

PLEASE HELP QUICK!!

Answers

900 calories !!!!!!!!!!

Which is smaller, one-ninth of 54 or one-fourth of 36?

Answers

Answer:

one-ninth of 54

Step-by-step explanation

54*1/9=6

36*1/4=9

Answer:

1/9 of 54  is smaller than 1/4 of 36

Step-by-step explanation:

1/9 of 54 is 54/9 and that is 6

1/4 of 36 is 36/4 and that is 9.

Please mark brainliest

HELP PLEASE!!!! WILL GIVE 100 POINTS

Answers

Answer:

w to r to a

Step-by-step explanation:

e to c to p

Answer:

w to r to a

Step-by-step explanation:

Hy can you figure out

(100 x 50) - (1/8 x 50) ÷ by 2?

Answers

Answer:

4996.875 or 39975/8

Step-by-step explanation:

brainly pls

Which statement is not true about the pattern shown 2/3 , 4/6, 8/12, 16/24 , ...

Answers

They are multiplying by two .

What is the predicted value of fuel efficiency (in miles per gallon) for a car with a 2.5 cubic liters engine? Round your answer to two decimals, if needed.

Answers

Answer:

25.92

Step-by-step explanation:

Fuel efficiency is the measure or effort that is required to convert the chemical energy in the fuel to the kinetic energy which the cars needs to move. It is meant by how good or effectively the fuel is utilized by the vehicle. It is the ability of the engine to extract more energy from the fuel.

In the context, the size of the engine is 2.5 cubic liters. Then the predicted value of the fuel efficiency will be 25.92 miles per gallon.

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