in how many distinct ways can the letters in philosophy be arranged

Answers

Answer 1

Answer:

3 Letters Word: 6 Distinct Ways: 4 Letters Word: 24 Distinct Ways: 5 Letters Word: 120 Distinct Ways: 6 Letters Word: 720 Distinct Ways: 7 Letters Word: 5,040 Distinct Ways: 8 Letters Word: 40,320 Distinct Ways: 9 Letters Word: 362,880 Distinct Ways: 10 Letters Word: 3,628,800 Distinct Ways

Step-by-step explanation:

Answer 2

The number of ways in which the word 'PHILOSOPHY' can be arranged is 453,600.

What is a factorial?

The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.

As we can see that the word 'PHILOSOPHY' has 10 letters therefore, the letters of the word can be arranged in the 10! manner, but it contains the letter P, H and O twice therefore, there will be words that will look the same and are counted twice. Thus, the number of ways the word PHILOSOPHY can be arranged are,

[tex]\text{Number of ways} = \dfrac{10!}{2! \times 2! \times 2!} = 453,600[/tex]

Hence, the number of ways in which the word 'PHILOSOPHY' can be arranged is 453,600.

Learn more about Factorial:

https://brainly.com/question/16674303


Related Questions

A french class has a total of 25 student.The number of males is 7 more than the number of females how many males and how many females are in the class?

Answers

Answer:

16 males and 9 females.

Step-by-step explanation:

If you subtract 7 from 25 you get 18. If you split 18 in half you get 9. Which means if you add 7 to 9 you get the number of males, which leaves you with 9 students left so the rest are females.

Answer:

16 males and 9 females

Step-by-step explanation:

To solve this we can use a system of equations.

Let's start by naming the number of females x.

The number of males would then be y.

Using these variables, we can set up 2 equations using info provided:

A french class has a total of 25 students, -> x+y=25

The number of males is 7 more than the number of females -> x+7=y

Use substitution to solve.

From the second equation:

x+7=y

Subtract 7 from both sides.

x=y-7

Substitute that into the first equation.

x+y=25

y-7+y=25

Combine like terms.

2y-7=25

Add 7 to both sides.

2y=32

Divide both sides by 2.

y=16

Substitute y=16 into equation 2.

x+7=y

x+7=16

Subtract 7 from both sides.

x=9

Therefore, there are 16 males and 9 females in the french class.

A hospital claims the main number of patients seen in the emergency room each day is more than 49. You know the following items about this study; The P value is 0.0922, the level of significance is 10% and assume the population is normally distributed

Answers

Answer:

The p-value is less than the alpha (the level of significance) reject the null hypothesis. There is sufficient evidence at the α = 0.1 level of significance to conclude that μ>49.

Step-by-step explanation:

Can someone help me

Answers

Answer:

23.27 - 5. 3 = 17.97

Step-by-step explanation:

Ч=3x-2 Help please?

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Match the following Match the items in the left column to the items in the right column
1 fish to Starfish
2. total to fish
3. Starfish to total
4. Starfish to fish

Answers

Answer:

Sorry, you didn't send the picture with it. But, I have the picture that you forgot to send, here is the picture.

Step-by-step explanation:

That is the image down there! Thanks. Sorry, I can't answer though.

What is 2020 divided by 13?​

Answers

Answer:

155.384615385

Step-by-step explanation:

What is i2=-1 math test

Answers

Answer:

Your answer is: ↓

If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]

If you are trying to figure if that equation is determined T/F: The answer is T.

If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]

Step-by-step explanation:

Hope this helped : )

A right cylinder-shaped water tank is used to supply water to a reservoir. If the cylinder has a diameter of 16 feet and a height of 22 feet, what is a reasonable estimate of the maximum amount of water the tank can hold? (Use π≈3.14)

Answers

9514 1404 393

Answer:

  4421 cubic feet

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr²h

where r is the radius (half the diameter), and h is the height.

Using your numbers, the cylinder volume is ...

  V = (3.14)(8 ft)²(22 ft) ≈ 4421.12 ft³

The maximum amount of water the tank can hold is about 4421 cubic feet.

An electronics store has a clearance sale
whereby everything in store is marked down
by 20% of the original price. Jay buys a
Bluetooth speaker with an original price of
R950.00. When he gets to the till, the cashier
lets him know that the speaker is marked
down a further 8% on the reduced price.
i. How much will Jay pay for the speaker?
ii. What is the final discount percentage Jay
gets off the original price?​

Answers

Answer:

i. R699. 2

ii. 26.4%

Step-by-step explanation:

Given the following data;

First discount (on original price) = 20%

Second discount (on reduced price) = 8%

Original price = R950.00

*To find how much Jay will pay*

First discount;

[tex] Discount = \frac {20}{100} * 950[/tex]

[tex] Discount = 0.2 * 950[/tex]

Discount = R190.00

Reduced price = 950 - 190

Reduced price = R760.00

Second discount;

[tex] Discount = \frac {8}{100} * 760[/tex]

[tex] Discount = 0.08 * 760[/tex]

Discount = R60.8

Selling price = 760 - 60.8

Selling price = R699.2

Therefore, Jay will pay R699.2 for the speaker.

ii. To find the final discount percentage;

[tex] Percent \; discount = \frac {original \;price - selling \; price}{original price} * 100[/tex]

Substituting into the equation, we have;

[tex] Percent \; discount = \frac {950 - 699.2}{950} * 100[/tex]

[tex] Percent \; discount = \frac {250.8}{950} * 100[/tex]

[tex] Percent \; discount = 0.264* 100[/tex]

Percent discount = 26.4%

Therefore, the final discount percentage Jay gets off the original price is 26.4%.

The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the equation y = (1/3)x, where x represents the number of animals and y represents pounds of food. If y varies directly with x, which graph represents the situation?

Answers

Answer:

It is the second graph.

Step-by-step explanation:



Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5

years? Round your answer to two decimal places.

Answers

Answer:

FV= $3,725.07

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,294

Number of periods (n)= 5 years

Interest rate (i)= 2.6% = 0.026

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 3,294*(1.026^5)

FV= $3,725.07

5 roommates share the cost of an apartment: rent,electricity, and gas. rent costs 1800 and gas costs 150 per month. each roommate pays 425 per month. how much is the electricity bill​

Answers

Answer:

Electricity bill is 175

Step-by-step explanation:

Given

[tex]Rent = 1800[/tex]

[tex]Gas = 150[/tex]

[tex]Each\ Roommate = 425[/tex] monthly

[tex]Number\ of\ Roommate = 5[/tex]

Required

Determine the electricity bill

If each roommate pays 425, then 5 roommates pay 5 * 425

[tex]Total = 5 * 425[/tex]

[tex]Total = 2125[/tex]

This implies that: the monthly cost of room, gas and electricity add up to 2125.

In other words,

[tex]Gas + Rent + Electricity = 2125[/tex]

[tex]150 + 1800+ Electricity = 2125[/tex]

[tex]1950+ Electricity = 2125[/tex]

[tex]Electricity = 2125 - 1950[/tex]

[tex]Electricity = 175[/tex]

Hence, the electricity bill is 175

A Normal distribution has mean µ = 61.6. Find it’s standard deviation if 20% of the values are greater than 70. (Hint--use the z-score formula).

Answers

Answer:

The value is  [tex]\sigma = 9.976[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is [tex]\mu = 61.6[/tex]

Given that 20% of the values are greater than 70, the z-score to  the right of the curve  corresponding to 20% (0.2) of the values is

     [tex]z-score = 0.842[/tex]  

Generally this z-score is mathematically represented as

       [tex]z-score = \frac{x - \mu }{\sigma }[/tex]

Here  x = 70  

So

     [tex]0.842 = \frac{70 - 61.6 }{\sigma }[/tex]

=>   [tex]\sigma = 9.976[/tex]

Thanks for the help :)

Answers

Your welcome I’m glad to help out

A. B. C. Or d. Please

Answers

Answer:

B

Step-by-step explanation:

1. Sally decided to go early Christmas shopping at a local Wal-Mart. There was
a Black Friday sale and she bought a TV that was originally $200. The TV
was marked down 25%. How much did Sally pay after it was marked down?
(1 point)
T

Answers

Answer:

$175

Step-by-step explanation:

FINANCE

4. Which of the following is NOT a reason why the required return on a bond may differ from its par value?

A. The required rate of return exceeds the coupon value, so the bond sells at a premium.
B. The required rate of return exceeds the coupon value, so the bond sells below par value.
C. The required rate of return is less than the coupon value, so the bond sells at a premium.
D. The required rate of return is less than the coupon value, so the bond sells below par value.

Answers

Answer:

I think the answer is B

Step-by-step explanation:

Thank you

It is B trust me and have a good thanksgiving

May u please help me ill give out the brainly

Answers

Answer:

24x+18y+10

Step-by-step explanation:

start by distributing so 6*4x and 6*3y

that give you 24x+18y+10

Convert the rate to a unit rate. What is 124 feet walked in 10 seconds equal per second?

Answers

Answer:

12.4 feet per second

Step-by-step explanation:

Walking 124 feet in 10 seconds is the fraction [tex]\frac{124 feet}{10 seconds}[/tex] this is the same as [tex](\frac{124}{10}) \frac{feet}{seconds}[/tex] We get a decimal by dividing 10 into 124 [tex](12.4)\frac{feet}{seconds}[/tex] That's 12.4 feet per second

Can anyone please help FAST! I’m looking for the correct answer and how you explain it! I’ll mark brainlist please and thank you!

Answers

1a. Y = mx + b
Y = 2x + b
-2 = 2(5) + b
-2 = 10 + b, b = 12
Equation: y = 2x + 12

1b. Standard form: Ax + By = C
subtract 12 and y from both sides
2x - y = -12
Equation: 2x - y = -12

Answer:

Part 1: y=2x-12

Part 2: 12=2x-y

Step-by-step explanation:

Given Information:

m (slope) = 2

There is a point: (5, -2)

PART 1

Solution: Use the formula:  [tex]y=m(x-x_{1} )+y_{1}[/tex]

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

y=2x-10-2

y=2x-12

PART 2

y=2x-12         (from part 1)

0=2x-y-12      

12=2x-y

Find the slope and the y−intercept of the line in the graph.

Answers

Answer:

hgnbgnbgn

Step-by-step explanation:gnhgbnghnb

What is the slope through the points
(1,-3) and (2,1)

Answers

Answer:

The slope is 4

The equation is y=4x-7

Step-by-step explanation:

y-y/x-x I used this equation and plugged the numbers in.

Which one is bigger 1 3/5 or 1.9

Answers

Answer:

1.9

Step-by-step explanation:

1 3/5 is the same as 1.6. So, which ones bigger? 1.9.

1.9 because 1 3/5 becomes 1.6 and 1.9 is bigger than 1.6

please *atleast* answer one of them!
1. what is the difference when (t-3v) is subtracted from the sum of (7t-2u-3v) and (3t+5u-8v)?
2. Which of the following best describes “The movement of a lift is positive 2 levels”? *
3. How many like terms are there in the expression 2x + 3y - 5x + yz - x?

Answers

Answer and Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

1. Let's write out the equation to subtract.

7t - 2u - 3v - (t - 3v)

Distribute the negative to the t and -3v.

7t - 2u - 3v - t + 3v         (The negatives cancel out)

Now simplify by combining like terms.

6t - 2u

This is the answer because the 3v and -3v cancel out.

2. I don't really understand what this is saying. Is there answer choices for this? But what I think its saying is that the lift has a constant of 2.

3. To find out the amount of terms, we would simplify the equation.

2x + 3y - 5x + yz - x

-4x  + 3y + yx

Here, we can see that we have 3 terms in this expression.

-4x is the first term, +3y is the second term, and +yx is the third term.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

Un ingeniero realiza las siguientes observaciones sobre las ventas de impresoras en una tienda: Hay impresoras Epson, Hp y Cannon. El número de impresoras Epson y HP es cinco veces el número de las Cannon. Además, el número de impresoras Epson es el triple que el de la Cannon y El total de impresoras Cannon y Hp asciende a 123​

Answers

Answer:

En la tienda hay 123 impresoras Epson, 82 impresoras HP y 41 impresoras Cannon.

Step-by-step explanation:

Para determinar el número de impresoras de cada marca, se deben plantear las siguientes ecuaciones:

E + HP = 5 x C

E = 3 x C

C + HP = 123

Así, teniendo en cuenta estas ecuaciones y los valores de cada marca dentro del stock de la tienda, se puede plantear la siguiente equivalencia:

Si E = 3C y E + HP = 5C, entonces HP = 2C, ya que 5C - 3C = 2C.

Entonces, las equivalencias son las siguientes:

E = 3C

HP = 2C

Si C + HP = 123, podríamos decir que 3C = 123. Por ello, dado que 123 / 3 es igual a 41, el número de impresoras Cannon asciende a 41 unidades.

A su vez, el número de impresoras HP es de 82 unidades (41 x 2), mientras que el número de impresoras Epson asciende a 123 unidades (41 x 3).

Find n and r 10 pointssss

Answers

N is 10.6
And
R is 5.2

A die is rolled 5 times. What is the probability that 1 occurs twice, 2, 3 and 4 occur once each, and 5 and 6 do not occur (round off to fourth decimal place)

Answers

Answer:

0.0077

Step-by-step explanation:

From the given information;

Each outcome possesses the same probability of 1/6 in a single roll.

The required probability can be estimated by using the multinomial distribution;

Therefore;

[tex]P = \dfrac{5!}{2!\times 1!\times 1!\times\times 1! }\times (\dfrac{1}{6})^2\times (\dfrac{1}{6})\times (\dfrac{1}{6})\times (\dfrac{1}{6})[/tex]

[tex]P = 60\times (\dfrac{1}{36})\times\dfrac{1}{216}[/tex]

P = 0.0077

The required probability = 0.0077     to 4 decimal decimals

the square of a number equals five times that number find number.
A. 0 or 1
B. 0 or 3
C. 0 or 5
D. 0 or 7​

Answers

Answer:

x²=5x

x=5... probably c

a proportion question ​

Answers

Answer:

because x,y,z are in continuous proportion

=> x/y = y/z

<=> xz = y² =>

[tex]\frac{xz}{y} =y\\\\=>\frac{x^{3}z^{3} }{y^{3} }=y^{3}[/tex](1)

with (1), we have:

[tex]x^{2}y^{2}z^{2}(\frac{1}{x^{3} }+\frac{1}{y^{3} }+\frac{1}{z^{3} })\\\\= (xyz)^{2}(\frac{1}{x^{3} } +\frac{y^{3} }{x^{3}z^{3} }+\frac{1}{z^{3} })\\\\=(xyz)^{2} (\frac{x^{3}+y^{3}+z^{3} }{x^{3}z^{3}} )\\\\=y^{2}.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\= xz.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\=x^{3}+y^{3}+z^{3}[/tex]

Step-by-step explanation:

Stanley drove a race car an average speed of 120 miles per hour for 3 minutes. How far did Stanley drive the race car?​

Answers

Answer:

6 miles

Step-by-step explanation:

3 minutes = 1/20 of an hour

120 miles x 1/20 of an hour = 6 minutes

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