How many permutations of letter of the word APPLE are there?​

Answers

Answer 1

Answer:

There are 60 permutations.

Step-by-step explanation:

Arrangements formula:

The number of possible arrangements of n elements is given by:

[tex]A_n = n![/tex]

With repetition:

For each element that repeats, with [tex]n_1, n_2, ..., n_n[/tex] times, the formula is:

[tex]A_n^{n_1,n_2,...,n_n} = \frac{n!}{n_1!n_2!...n_n}[/tex]

In this question:

Apple has 5 letters.

P appears two times. So

[tex]A _5^{2} = \frac{5!}{2!} = 60[/tex]

There are 60 permutations.


Related Questions

7(2e-1)-3=6+6e pls help and do step by step

Answers

Answer:

e = 2

Step-by-step explanation:

7(2e - 1) - 3 = 6 + 6e

14e - 7 - 3 = 6 + 6e

14e - 10 = 6 + 6e

14e - 6e - 10 = 6

8e - 10 = 6

8e = 6 + 10

8e = 16

8e/8 = 16/8

e = 2

Recheck:

7(2e - 1) - 3 = 6 + 6e

7(2(2) - 1) - 3 = 6 + 6(2)

7(4 - 1) - 3 = 6 + 12

7(3) - 3 = 18

21 - 3 = 18

18 = 18 ✅

There were 120 tickets sold for a band concert and 3/4 of those were student tickets how many adult tickets for the concert were sold

Answers

Answer:

30 because if u divided 120 by 4 its 30 and the parents get 1/4 so its 3....... 30/120

a
Joshua is flying a kite, holding his hands a distance of 3.75 feet above the
ground and letting all the kite's string play out. He measures the angle of
elevation from his hand to the kite to be 28°. If the string from the kite to his
hand is 140 feet long, how many feet is the kite above the ground? Round
your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

Step-by-step explanation:

Assuming the ground is level

h = 3.75 + 140sin28

h = 69.47601...

h = 69.48 ft.

The height of the kite above the ground is 69.48 ft

Right angle triangle:A right angle triangle is a triangle that has one of its angle as 90 degrees. Therefore,

Using trigonometric ratio, the opposite side of the triangle formed can be calculated as follows:

sin 28° = opposite / hypotenuse

sin 28° = x / 140

x = 140 sin 28

x = 140 × 0.46947156278

x = 65.72601879

x = 65.73

The height of the kite from the ground = 65.73 + 3.75 = 69.48 feet

learn more on right triangle here: https://brainly.com/question/25892318

3) Choose the graph which represents the solution to the inequality:
XS-4x + 15
A)
B)
CS

Answers

Answer: x has to be less than 5 i can’t read it but it is starting from positive 5 with the arrow going to the left

Step-by-step explanation:

What is the slope of the line?

Answers

Answer:

-1/2

Step-by-step explanation:

Pick 2 points on the line, that are real whole numbers. I used (-3,-3) and (-1,-4)

Calculate the slope using rise over run. -4-(-3)=-1

                                                                  -3-(-1)=2

Or, after choosing the dots, you can make a triangle

Jennifer’s bill for lunch was $15.00 If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?

Answers

Answer: $3

Step-by-step explanation:

15 times .20 then subtract that from 15

Answer:

$3

Step-by-step explanation:

because other people said it and especially your MOTHER SAID IT TOO HAHAHAHAHAHAHAHAHAHAHAHAHAHAHAH

AYO y'all can someone help wit this question urgent?


the amount in Maddies back account can be written ad a function of time. What is the equation for maddies bank account?!?

Answers

Answer:

I think this is right lol

Step-by-step explanation:

f(x)=49+x

(4.03 MC) the table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal / number of cup of raisins
8 4
10 5
12 6

Answers

8 : 2  

8+ 4 = 12    2 + 1 = 3

12 : 3

12 + 4 = 16   3 + 1 = 4

16 : 4

16 + 4 = 20   4 + 1 = 5

20 : 5

20 + 4 = 24   5 + 1 = 6

24 : 6

24 + 4 = 28   6 + 1 = 7

28 : 7

28 + 4 = 32   7 + 1 = 8

32 : 8

32 + 4 = 36   8 + 1 = 9

36 : 9

36 + 4 = 40   9 + 1 = 10

40 : 10

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer: If the number of cups of cereal is 40, then the number of cups of raisins will be 10.

Have a great day/night! :D

Jose is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes. How many different outfits does Jose have to choose from?

Answers

Answer:

Jose has 36 outfits in total, just multiply all the numbers together

Step-by-step explanation:

Find the area of the triangle

Answers

Answer:

5/2 units²

Step-by-step explanation:

Area of triangle = 1/2 x base x altitude => 1/2 x 5 x 1=> 5/2

Conclusion:

Therefore, the area of the triangle is 5/2 units².

Hoped this helped.

[tex]GeniusUser[/tex]

What is the probability that Tom, Ana, and Julio will all win if there are
four candidates chosen for four seats? There are still ten candidates
running.

Answers

Answer:

1/30

Step-by-step explanation:

-3x-8? I would like to know the steps also

Answers

Answer:

24

Step-by-step explanation:

a - and a - make a +

so -3 x -8 becomes positive

so 3 x 8 = 24

F(t) = 200(0.95)^t
What is the rate of change?

Answers

Answer:

f(t)=-5%

Step-by-step explanation:

Answer:

the rate of change is 5%

Step-by-step explanation:

Given : Function

To find: What is the rate of change?

Solution :

The given function is an exponential function as it is in form

in which b is the factor of rate,

If b=1+r then r is the growth rate

If b=1-r then r is the decay rate.

We have given b=0.95

So, 0.95=1-r

r=1-0.95

r=0.05

i.e, It is a decay rate with 5%.

Therefore, The rate of change is 5%.

Plzzzz help I REALLY NEED HELP

Write a division problem with 1/3 as the dividend 3 as divisor. The find the quotient.

Answers

Answer:

1/9

Step-by-step explanation:

answer would be 0.333

Mr. Schnee is refinancing his home. His loan officer has presented him with the following two offers; it is worth noting that Mr. Schnee is expecting to move back home to Michigan in five years. Using a system of linear equations, help Mr. Schnee decide which offer to take in order to maximize his benefit. Mr. Schnee has already determined that he definitely wants to refinance as he is currently paying $1,744.67.

4.5% Interest Rate for 30 years with a monthly payment of $1,266.71 with $256 Closing Costs
4.0% Interest Rate for 30 years with a monthly payment of $1,193.54 with $10,362 in Closing Costs

Answers

The option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.

Given that Mr. Schnee is refinancing his home, and his loan officer has presented him with two offers, to determine which offer should he take in order to maximize his benefit, the following calculation must be performed:

A) 4.5% Interest Rate for 30 years with a monthly payment of $ 1,266.71 with $ 256 Closing Costs

1,266.71 x 30 x 12 + 256 = X

1,266.71 x 360 + 256 = X

456,015.60 + 256 = X

456,271.60 = X

B)4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs

1,193.54 x 30 x 12 + 10,362 = X

1,193.54 x 360 + 10,362 = X

429,674.40 + 10,362 = X

440,036.40 = X

Therefore, the option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.

Learn more about maths in https://brainly.com/question/25866144

Which fraction is the same as 3.375?

Answers

Answer: 27/8 or 3 3/8

Step-by-step explanation:

Write 3.375 as 3.375/1

then you take the numerator 3.375 and multiply it by 1000. Multiplying is to make 3.375 a whole number. Whatever you do to the numerator, you have to do to the denominator. So, we take 1x1000 aswell. Then our fraction would be 3375/1000.  

   Then, we would find the greatest common factor. The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. The GCF is 125. Then you divid 125 by the fraction, (which means that you divid the number by both the numerator and denominator) and you get the answer, which is 27/8.

  If the question is asking you to turn the fraction into a mixed number, you would have to find out how many times 8 going into 27. It goes in 3 times.  That is ur whole number. Then do 8x3 to get 24. take 27 and subtract 24 to get 3. that 3 is your numerator. The denominator stays the same.  ur final answer as a mixed number is 3 3/8.

What is a 15% tip on a meal that costs $38.40?

Answers

so first u need to find 15% of $38.40 so that will be $5.76 (0.15x38.40) !

Answer:

its $5.76

Step-by-step explanation:

because $38.40 / 15 is $5.76

Help help help help help help pelsss

Answers

Answer:

angle 4 is also 75 degrees

Step-by-step explanation:

can anyone please help? I'm stuck on this problem​

Answers

Answer:

I think 38.7 if you do<j it would be 38.7

Yi = 4.0 + 1.5Xi
a. Interpret the Y intercept, b0.

Answers

Answer:

Divide each term in  Y i  =  4  +  1.5 X i  by  i  and simplify.

Y  =  −  4 i  +  1.5 X

Step-by-step explanation:

HELP PLEASE!!!
Drag each graph to show if the system of linear equations it represents will have no solutions, one solution, or infinitely many solutions.

Answers

The first graph represents a system of equations with a unique solution.The second graph represents a system of equations with no solutions.The third graph represents a system of equations with infinitely many solutions.The fourth graph represents a system of equations with a unique solution.

The first graph shows a system of equations that has a unique solution because the two linear graphs have a single point of intersection.

The second graph shows a system of equations with no solutions. This is because the two graphs are parallel to each other, and have no point of intersection.

The third graph has two linear equations that coincide at every point. This makes this system to have an infinite number of solutions.

The fourth graph shows two linear functions having a single point of intersection. This particular system of equations has a unique solution.

Learn more about graphs of linear equations here: https://brainly.com/question/370278

Apply distributive 15+22

Answers

Answer:37

Step-by-step explanation:

Alyssa needs 4 pieces of wood that are 12 inches long to build a box. She bought a length of wood that was 60 inches long. How much extra wood does she have?

Answers

Answer:

She has 12 inches wood left

Step-by-step explanation:

There are 14 European cities that Sam would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)

Answers

Answer:

2184 different schedules

Step-by-step explanation:

Sam can make different schedules of the same three cities, so order of cities does matter, but no repetition is allowed. This makes this a permutation without repetition.

When we choose from n items, and we choose r of them, our formula is

n! / (n-r)!. We have 14 things to choose from, and 3 to choose, so our formula becomes

14! / (14-3)! = 14!/11! = 14*13*12 = 2184 different schedules

simplify (6)/(\sqrt(3))

Answers

2

3

Explanation:
to simplify we
rationalise the denominator

that is eliminate the radical from the denominator
to do this multiply the numerator/denominator by

3
[
noting in general that

a
×

a
=
a
]


6

3

=
6

3
×

3

3

=
6

3
3
=
2

3

Pls help me
Given the following data pairs (x, y): (1, 1.24), (2, 5.23), (3, 7.24), (4, 7.60), (5, 9.97), (6, 14.31), (7, 13.99),(8, 14.88), (9, 18.04), (10, 20.70) obtain a prediction for x = 4.5​

Answers

Answer:

(5.33) the answer but I am not sure

Grade 5 Module 3: End-of-Module REVIEW
Name
Date
1.
On Sunday, Sheldon bought 3 kg of plant food. He used 1 kg on his strawberry plants and used kg
for his tomato plants.
a.
How many kilograms of plant food did Sheldon have left? Write one or more equations to show how
you reached your answer.
Ur
orit,
Match
b.
Sheldon wants to feed his strawberry plants 2 more times and his tomato plants two more times.
f plant food as before. How much plant food will he need? Does he

Answers

Answer: a.) 1kg b.) He would need to buy 4 more kilograms (kg) of plant food.

Step-by-step explanation:

The question was not complete, I am not sure about the answer.

Correct me if I am incorrect.

Jane is going to purchase a home in a gated community with a sale price of $250,000. She is able to put 20% down for her down-payment and get a mortgage for the balance. The community has Homeowner Association dues of $200 per month. The cost of home insurance is $3,600 yearly. The taxes are $1,200 yearly. She is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.5%. Interest rate for the 15-year mortgage is 2.75%. Jane's credit score is 585.

1) What will her monthly payment be , including taxes, insurance, and other fees, rounded to the nearest dollar, if she chooses the 30 year fixed?

2) Assuming she makes monthly payments for 30 years, How much will Jane have paid total for the house at the end of the 30 years? Don't forget the down-payment.

3) What will her monthly payment be rounded to the nearest dollar, including taxes, insurance, and other fees, if she chooses the 15 year fixed?

4) Assuming she makes monthly payments for 15 years, How much will Jane have paid total for the house at the end of the 15 years? Don't forget the downpayment.

Answers

Answer:

Step-by-step explanation: this is hard

A number increased by 4 is less than - 12.

Answers

Answer:

is this all the information from the question

Which equation shows the inverse property of multiplication?
4 + (-4) = 0
-8 + (-3) = -3 + (-8)
2 times one-half = 1

Answers

Answer 3 it’s answering itself as it is the only multiplication problem
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You want to go the boarding school. Write a letter to your father telling him at least five reasons why day school is not an option. Which law prohibits companies receiving federalfinancial assistance from treating an individualdifferently when determining eligibility?A. Title VI of the Civil Rights Act of 1964B. The National CLAS StandardsC. The Dodd-Frank Act D. HIPAA Which inequality is true?O A. 1 2 > 2OB. 8 - T > 5O C. 1071 > 30O D. 1+4 Standard hydrogen electrode acts as both anode and cathode.Explain. 2 plus 2 is 22??????? Read the excerpt from Votes for Women:Taking a more aggressive approach to women's suffrage was arguably more impactful in the short term. Alice Paul learned how to use this aggressive approach in England and brought it to the United States. For a while, she held a leadership position with the National American Woman Suffrage Association. She helped organize the March on Washington held on March 2, 1913, the day before President Wilson's inauguration. The parade was led by a human rights lawyer riding a white horse, and behind her women marched in costumes reflecting the nations that had already given women the vote. Multiple floats, bands, brigades, and costumed women paraded on through Washington, D.C. However, during the parade of protest, some men attacked the women and behaved poorly, and the police did nothing to stop it. The actions of the men led to an inquiry, which brought women's suffrage significant public awareness. However, some women did not agree with Paul's methods. Paul ultimately formed a separate group, which became known as the National Woman's Party. This group of women held marches and hunger strikes. They were also the first organization to organize a picket of the White House in January 1917. While their choice to picket during World War I angered some, their methods did make an impact and paved the way for women's suffrage to become law.Both peaceful and aggressive approaches contributed to the ratification of the 19th Amendment on August 18, 1920. On November 2, women across the nation voted, which marked the beginning of the ongoing struggle to reform the rights of women in the United States.Read the sentence from the text:On November 2, women across the nation voted, which marked the beginning of the ongoing struggle to reform the rights of women in the United States.Which point does this piece of evidence support? What is the domain of the following function? For source to be credible it must be both _____ and _____A. Fast and FuriousB. True and FalseC. Timely and HonorableD. Valid and Reliable The most significant event of the Roman period was the birth,life,and death of Jesus Christi GIP MNH CU NY VI ,PLS!s nguyn dng nh nht tha mn bt phng trnh :gi tr tuyt i(-x+2)+5[tex]\geq[/tex]x-2a.khng c b.x=1c.x=5d.x=6 Are 3(3x - y) and 12 ( x - 4y ) equivalent expression? I do school w o r k, if you need any work done, just comment, I also do FLVS classes 7. The list price of an article is 25% above the selling price and cost priceis 40% below the list price, then rate of discount is:a. 15%b. 20%C. 25%d. 40% Pls help this is due tomorrow ANSWER THIS FOR BRAINLIST PLS There are four main types of economic systems in use today.In a economy, people generally produce what they need to survive.A economy is a system in which resources and means of production are controlled by the government.In a economy, supply and demand dictate production, distribution, and investment decisions.Finally, a combination of market and command systems is found in a economy, in which free markets exist with some government intervention. Tm din tch ca mt. Phn mt x2+y2+z2=9 nm bn trn mt phng z=1. Change to cylindrical coordinates. 33 9-x^20 9x^2-y^2x^2+y^2 dz dy dx Please help me to solve these questions as soon as possible. Thank you 1) 6 is a common factor of 36 and y. Find the possible value of y.A. 25 B. 48 C.57 D. 812)Which of the following shows 180 as the product of prime factorsA. 180=290B.180=2245C.180=22315D.180=223315 Help pleaseee I need it so bad 4. a) x2 + xy2 + y 4