Find the number of distinguishable permutations of the letters PEPPERONI. NO LINKS!!!!​

Answers

Answer 1
Answer:  30,240

This is is one value (and not two values separated by a comma) and it's slightly over 30 thousand.

========================================================

Explanation:

There are n = 9 letters in the word "PEPPERONI"

If we could tell all the letters apart, there would be 9! = 9*8*7*6*5*4*3*2*1 = 362,880 permutations, and that would be the answer.

However, we have repeated letters that we cannot tell apart. The P shows up a = 3 times, and the E shows up b = 2 times. So we need to divide by a!*b! = 3!*2! = 6*2 = 12 to correct for the overcounting. That leads to the final answer of (362,880)/(12) = 30,240


Related Questions

Which expression has the same value as the one below? 87 + (-12)

Answers

Answer:

75

Step-by-step explanation:

Given data

First term= 87

Second term= -12

Hence,

87 + (-12)

open bracket

+*-= -

= 87 -12

=75

Therefore the equivalent is 75

2x^+7x - 15= 0 If r and s are two solutions of the equation above and r > s which of the following is the value of r-s?

Answers

Answer:

6.5

Step-by-step explanation:

You failed to include the choices

68 - 4 × (6 - 4)4

pls help o-o

Answers

Answer:

Here you go!, hope it helped. 68-32x

Answer:

36 is the answer I think :D

Use the net to find the lateral area of the prism. 15 m 3 m 6 m 3 m 6 m

Answers

Answer:

270 m²

Step-by-step explanation:

LA = (3+6+3+6)×15

= 18×15 = 270 m²

help please!!!!!!!!!!!!!!!!

Answers

Answer:

D

The X Axis is the time, the Y Axis is the amount of pages being read.

Find the volume of this cylinder.
Round to the nearest tenth.
16cm
4 cm
[?] cm3

Answers

The volume of the given cylinder with a diameter of 4 cm and the height of the cylinder is 16cm is 201.062 cm².

What is the volume of a right circular cylinder?

The right circular cylinder is the cylinder in which the line joining the centre of the top circle of the cylinder to the centre of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

Suppose that the radius of the considered right circular cylinder is 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The volume of the given cylinder is,

Volume of the cylinder = (π/4) × (4cm)² × 16cm

                                      = 201.062 cm²

Hence, the volume of the given cylinder is 201.062 cm².

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Suppose we want to choose 4 colors, without replacement, from 18 distinct colors.
(a) If the order of the choices is relevant, how many ways can this be done?
(b) If the order of the choices is not relevant, how many ways can this be done?

Answers

Answers:

(a) 73440(b)  3060

=====================================================

Explanation for part (a)

Consider four slots labeled A,B,C,D.

We have

18 choices for slot A17 choices for slot B16 choices for slot C15 choices for slot D

We started at 18 and counted down until we filled the four slots. The countdown is because we cannot repeat a color. Multiply out those values to get the answer: 18*17*16*15 = 73440

You can use the nPr permutation formula as an alternative method

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

in this case n = 18 and r = 4. The exclamation marks indicate factorial.

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

Explanation for part (b)

Let's say we had color labels A,B,C,... all the way up to R which is the 18th letter in the English alphabet. From those 18 letters, we can only pick four. Let's say we pick D,E,F,G.

Focusing solely on the set {D,E,F,G}, we only have one set and the order doesn't matter. So {D,E,F,G} is the same as {D,E,G,F}.

There are 4*3*2*1 = 24 ways to arrange those four items meaning that we'll need to divide the result of part (a) by 24 to get the result of part (b)

73440/24 = 3060

You could use the nCr combination formula to get the same result

[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]

where n = 18 and r = 4 are the same from last time.

The connection between nPr and nCr is this

[tex]_nC_r = \frac{_nP_r}{r!}[/tex]

which can be rearranged into

[tex]_nP_r = r!*\left( _nC_r \right)[/tex]

these formulas are handy to help us go back and forth between nCr or nPr.

If the order of the choices is relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 73440.

If the order of the choices is not relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 3060.

What are combination and permutation?

Combination is a way of selecting items from a collection where the order of arrangement is not relevant.

It is given by:

[tex]^nC_r[/tex] = n! / r! (n-r)!

Permutation is a way of selecting items from a collection where the order of the arrangement is relevant.

It is given as:

[tex]^nP_r[/tex] = n! / (n-r)1

We have,

Number of distinct colors = 18

Number of colors to be chosen = 4

The number of ways the four colors be chosen when the order is not relevant:

= [tex]^{18}C_4[/tex]

= 18! / 4! 14!

= 18 x 17 x 16 x 15 / 4 x 3 x 2

= 3060

The number of ways the four colors be chosen when the order is relevant:

= [tex]^{18}P_4[/tex]

= 18! / 14!

= 18 x 17 x 16 x 15
= 73440

Thus,

If the order of the choices is relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 73440.

If the order of the choices is not relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 3060.

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Suppose that you have the option to buy an itern with either cash or credit?Under which condition would you use credit?
A if you don't want to pay interest
B if you want to build a good credit history
C if you like carrying a lot of cash on you

Answers

Answer:

Step-by-step explanation:

B. You build credit by using credit cards so b is the answer.

Any help would be greatly appreciated!

Answers

Answer:

the answer for that question is sqrt(49)

green foods purchases packages of noodles by the carton. each carton contains 36 packages and costs $43.20. green foods sells the noodles for $2.29 per package. what is the markup per carton?

Answers

Answer:

91% markup

Step-by-step explanation:

$43.20 divided by 36 is $1.20 per package

if Green Foods is selling one package for $2.29 then they are marking each package up by $1.19

if you take the difference of the per carton prices (82.44-43.20) and divide it by 43.20, you get a 91% markup

Ahmad deposits $3000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in the first 4 years?

Answers

Answer:

.......

Step-by-step explanation:

Jahlan, simple interest means that interest is paid every year on the original $4000.

To find 2% of 4000, you multiply 4000(.02) = $80.

Since the interest is the same, 3(80) = $240.


Find the volume of the box.
3 ft
4 ft
5 ft
The volume of the box is
cubic feet________

Answers

Answer:

60 ft³

Step-by-step explanation:

GIVEN :-

Length of cube = 5 ftWidth of cube = 4 ftHeight of cube = 3 ft

TO FIND :-

Volume of cube

FACTS TO KNOW BEFORE SOLVING :-

Volume of a cube = Length × Width × Height

SOLUTION :-

In the question , all the dimensions of the cube is given. So,

Volume of the cube = 5 × 4 × 3 = 60 ft³

Based on the calculation, the volume of the box is 60 cubic feet.

How to calculate the volume

To find the volume of a box, you need to multiply its length, width, and height. In this case, the dimensions of the box are given as:

Length = 3 ft

Width = 4 ft

Height = 5 ft

To calculate the volume, multiply these dimensions together:

Volume = Length × Width × Height

Volume = 3 ft × 4 ft × 5 ft

Volume = 60 cubic ft

Therefore, the volume of the box is 60 cubic feet.

Learn more about volume

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PLEASE ANSWER IMMEDIATELY!!!

Answers

Answer:

w

Step-by-step explanation:

The inputs (x) have the different variables in order for it to be a function.

A class spends 1 hour 15 minutes on
English Language each school day. If
the total time spent in school each day
is 5 hour. What fraction of the time is
spent on English Language

Answers

Answer:

1/4

this is fraction of time spent on English language...

Choose all the expressions that show this statement is true.

Answers

Answer:

F. or C.

Step-by-step explanation:

how to find the vat on 14% of 1800​

Answers

Answer:

[tex]14 \ 100 \1800[/tex]

Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0

Answers

Answer:earthy

Step-by-step explanation:vuinh

what is 24.65 cubed?

Answers

Answer:

14,977.8946

Step-by-step explanation:

I need the answer I will mark brainlist pls

Answers

Answer:

8 I belive is C and 9 I think is D :)

Factorise as fully as possible:

[tex]8x^{2} -4x[/tex]


Please help me! Got a big test tomorrow and I really want to make sure I have every skill under my belt.

Answers

Answer:

[tex]4x(2x−1)[/tex]

Step-by-step explanation:

[tex] {8x}^{2} - 4x[/tex]

[tex]4x(2x) - 4x[/tex]

[tex]4x(2x)+4x(−1)[/tex]

[tex]4x(2x−1)[/tex]

Hope it is helpful....

A local pizza parlor is selling two different shapes of cheese pizza for the same price. You can get two small square pizza that have sides of 7 inches or a large round pizza with a diameter of 12 inches. Which choice gives you more pizza

Answers

Answer:

It is a good idea to buy the round pizza, since it has a total of 113.04 square inches of pizza, while the two square slices together bring together 98 square inches.

Step-by-step explanation:

Since a local pizza parlor is selling two different shapes of cheese pizza for the same price, and you can get two small square pizza that have sides of 7 inches or a large round pizza with a diameter of 12 inches, to determine which choice gives you more pizza the following calculations must be carried out, knowing that the area of a square is equal to pi multiplied by the radius squared, and that the area of a square is equal to its side squared:

Round pizza:

Radius = Half the diameter

3.14 x 6 ^ 2 = X

3.14 x 36 = X

113.04 = X

Square pizzas:

(7x7) x 2 = X

49 x 2 = X

98 = X

Therefore, it is a good idea to buy the round pizza, since it has a total of 113.04 square inches of pizza, while the two square slices together bring together 98 square inches.

A basketball player made 135 of the 225
foul shots he took in 4
games.

How many shots will he make in his next game if he attempts 30 foul shots?

Answers

135/225=3/5

3/5 times 6 on both sides=18/30

so he will make 18 shots

Subtract the sum of -6 and -2 from -18. *

Answers

Answer:

-26

Step-by-step explanation:

Because -6+ -2= -8

-18- 8= -26

Which equation is true for the value a=7
A. a+2(a-3)= 15
B. 4a-4(14)-a=24
C. 2a+47=105
D.3a+2(a-3)=34
E. 4a-2a=18

Answers

Answer:

The answer is just re look at the question A

Answer

THE ANSWER IS A

Step-by-step explanation:

Find the Area of the shaded region. Round your answer to the nearest tenth.

Answers

Answer:

610 m^2

Step-by-step explanation:

Area of the shaded region = area of the outer rectangle - area of the inner rectangle

Area of the outer rectangle

l = 42

b = 25

a = l*b = 42*25 = 1050m^2

Area of the inner rectangle

l = 22

b = 20

a = l*b = 22*20 = 440m^2

Therefore, the area of the shaded region is = 1050 - 440

                                                                         = 610m^2

Thank You

Hope u understood

Please mark as the brainliest

610 m^2



your welcome

-1/2+(3/4x419) =

A. 1/9
B. 5/6
C. -1/5
D. -1/6​

Answers

9514 1404 393

Answer:

  D.  -1/6

Step-by-step explanation:

Your calculator can tell you the answer to this.

  [tex]-\dfrac{1}{2}+\left(\dfrac{3}{4}\cdot\dfrac{4}{9}\right)=-1/2+\dfrac{4\cdot3}{4\cdot9}=-\dfrac{1}{2}+\dfrac{3}{9}\\\\=-\dfrac{1}{2}+\dfrac{1}{3}=-\dfrac{3}{6}+\dfrac{2}{6}=\boxed{-\dfrac{1}{6}}[/tex]

Please I need it now


A rational number is terminating decimal, if its denominator has
no prime factor other than:
A. 2 and 3 B. 3 and 5 C. 2 and 5 D. 2 and 7


Answers

Answer:

it's C. 2 and 5...

Step-by-step explanation:

If the denominator of rational number contains no prime factors other then 2 or 5 or both, then this rational number can be expressed as terminating decimal. So the correct answer is option is C

help asap will mark branniest thx

Answers

Answer:

[tex](\pi)r ^{2} h \div 3[/tex]

Volume = 3.14 × 5² ×6 ÷ 3

volume = 157 cm³ B


What needs to be done before you can add or subtract in this equation?
X - 3/4 = 1/2
A)multiply by the reciprocal of 3/4
B)multiply by the reciprocal of 1/2
C)Find the LCD between 1/2 and 3/4

Answers

Answer:

A)

Step-by-step explanation:

Right triangles 1, 2,
and 3 are given with all their angle measures and approximate side lengths.
35
8.2
120
10
9.4
10
2
70
55
5.7
3.4
6.4
7.7
3
50
40
10

Answers

Answer:

2.2

Step-by-step explanation:

I did it on khan

Right triangles have the measure of one of its angles to be 90 degrees

The ratio WY/WX is 0.36

From the triangle (see attachment), one of the angles of triangle WXY is 70 degrees.

This means that, the triangle is similar to triangle 1.

Similar triangles may or may not have congruent side lengthsSimilar triangles have equivalent ratios

So, by comparing the side lengths, we have:

[tex]WY = 3.4[/tex]

[tex]WX = 9.4[/tex]

The ratio is then calculated as:

[tex]\frac{WY}{WX}= \frac{3.4}{9.4}[/tex]

[tex]\frac{WY}{WX}= 0.36[/tex]

Hence, the ratio WY/WX is 0.36

Read more about similar triangles at:

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