In how many distinguishable ways can you arrange the letters in the word CONNECTICUT? *

Answers

Answer 1

Answer:

The number of distinguishable arrangements are 1,663,200.

Step-by-step explanation:

The word is: CONNECTICUT

The number of ways to arrange a word when no conditions are applied is:

[tex]\frac{n!}{k_{1}!\cdot k_{2}!\cdot k_{3}!...\cdot k_{n}!}[/tex]

Here k is the number of times a word is repeated.

In the word CONNECTICUT there are:

3 Cs

2 Ns

2 Ts

And there are a total of n = 11 letters

So, the number of distinguishable arrangements are:

[tex]\frac{n!}{k_{1}!\cdot k_{2}!\cdot k_{3}!...\cdot k_{n}!}=\frac{11!}{3!\times 2!\times 2!}[/tex]

                     [tex]=\frac{39916800}{6\times 2\times 2}\\\\=1663200[/tex]

Thus, the number of distinguishable arrangements are 1,663,200.


Related Questions

20 pts, try to find short story and novel pages, A novel has 13 times as many pages as a short story. The combined number of pages in the books is 448 pages. How many pages are in each book?

Short Story:

Novel:

Answers

Answer:

short story has 32 pgs

novel has 416 pgs

Step-by-step explanation:

a novel (N) has 13 times as many pages as a short story (x) so, N = 13X

total pages is the equation N + x = 448

plug the equation for N into this

13x + x = 448, combine like terms

14x = 448, divide both sides by 14

x = 32. so now we know that the short story has 32 pages. subtract that from 448. and the novel has 416 pages.

There are 32 pages in the short story and 416 pages in the novel.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Let x be the number of pages in the short story.

We know that the novel has 13 times as many pages as the short story, so the number of pages in the novel is 13x.

The combined number of pages in the books is the sum of the number of pages in the short story and the number of pages in the novel, which is x + 13x = 14x = 448 pages.

So the number of pages in the short story is x = 32 pages.

And the number of pages in the novel is 13x = 13 × 32 = 416 pages.

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What is the rate of change in y per unit change in x for the function 30x + 5y = 15?

Answers

Answer:

to find the answer you have to put it into y=mx+b format.

This means that it will be 5y=-30x+15

So it will simplify to y=-6x+3

This means that:

If y=2

You substitute then…

2=-6x+3

So x would equal 1/6.

Step-by-step explanation:

The rate of change is -1/6.

What is rate of change?

Rate of change (ROC) refers to how quickly something changes over time. It is thus the acceleration or deceleration of changes (i.e., the rate) and not the magnitude of individual changes themselves. In finance, rate of change is used to understand price returns and identify momentum in trends.

The units on a rate of change are “output units per input units.” The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

Given:

30x + 5y = 15

We know that the equation of line y= mx + b

Now, using 30x + 5y = 15

5y=-30x+15

Dividing both side by 5.

y = -30x/5 + 15/5

y = -6x + 3

let us take y= 4

4 = -6x + 3

1 = -6x

x= -1/6

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A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below. Customer Spending by Promotion Run Customers Spending More than $30 Customers Spending $30 or Less $10 off $50 15% off $5 off $25 Buy-1-Get-1 Half Off Which statement best describes how the manager can check if there is an association between the two variables? The manager must check relative frequencies by row because there are more than two different promotions. The manager must check relative frequencies by column because there are more than two different promotions. The manager cannot use relative frequencies to look for an association because there are more than two different promotions. The manager should check both relative frequencies by row and by column to look for an association.

Answers

Answer:

the answer is D

Step-by-step explanation:

TOOK THE TEST

Answer:

Answer is D

Step-by-step explanation:

Just took the edge test 2020

Hope this helps! :)

What is the answer to 4(950/2-125)/5

Answers

Answer:

280

Step-by-step explanation:

when you get the answer to all of that, you get 280 have a great day :)

the answer is 280.

What is division?

Division is the process of splitting a number or an amount into equal parts.

here, we have,

given that,

4(950/2-125)/5

=4(475-125)/5

=4(350)/5

=1400/5

=280

hence, the answer is 280.

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Crelle’s Journal is the oldest mathematics periodical in existence. Zacharias Dase’s incredible calculating skills were made famous by Crelle’s Journal in 1844. Dase produced a table of factors of all numbers between 7,000,000 and 10,000,000. He listed 7,022,500 as a perfect square. What is the square root of 7,022,500?
a.
2650
c.
2860
b.
2450
d.
2790

Answers

Answer:

A.2650

Step-by-step explanation: Just took it

The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters. A circle is shaded blue. A small unshaded square is at the center of the circle. What is the probability that a point chosen at random is in the blue region?

Answers

Answer:

do not awnser if u get it wrong he will deleat

Step-by-step explanation:

do not awnser

Helppppppppppppp pleaseeeeeee

Answers

Can someone please help me too no one Answerss my question

Answer:

bounce

Step-by-step explanation:

Why would a Roth 401(k) investment plan allow you to invest the most amount of money? a. The federal government subsidizes a portion of a Roth 401(k) to help people in lower tax brackets save for retirement. b. Roth 401(k) plans are reserved for administrators and executives, who have a higher income which would allow them to invest more. c. A Roth 401(k) plan takes money after tax has been removed from gross income, and has a contribution limit, but withdrawal is tax free. d. The contribution limit of a Roth 401(k) plan is more than double the limit of the traditional 401(k). Please select the best answer from the choices provided A B C D

Answers

Answer:

c

Step-by-step explanation:

A Roth 401(k) plan takes money after tax has been removed from gross income, and has a contribution limit, but withdrawal is tax free.

Answer:

its c

Step-by-step explanation:

The area of a sheet of paper is approximately

Answers

Answer:

1/2²m²

Step-by-step explanation:

11 = 3z + 5
What is this answer?

Answers

Answer:

subtract 5 from each side z=2

Step-by-step explanation:

z=2 :))))))))))))))))))))

A rectangular page is to have a printed area of 4 inches by 6.5 inches. If outside margins is to have a width of 1.2 inches, Compute the area of the margins.

Answers

First to answer

Answer:

From my understanding 1.2 is only there to try and trick you soo-

A=L*W

A=4*6.5

A=26

Hopefully this helps! Let me know if its wrong or right!

An office worker can type at the rate of 57 words per minute.

Which equation could be used to solve for the number of words he can type in 6 minutes?

Answers

6 x 57 wpm and 6 x 57 = 300 + 42 = 342 words

The answer in fraction form is 57/1 = x/6

Because the time is the denominator and the WPM is the numerator

One student from the school will be selected at random. What is the probability the selected student chose the art elective and the music elective?

Answers

Answer:

0

Step-by-step explanation:

The students are only allowed to take one slot for the elective. Therefore, there is a probability of zero that they would have chosen both art and music.

x=3m/2-m

make m the subject of the formula
help me plss

Answers

Answer:

2X/(3+X)

Step-by-step explanation:

X = 3m/2-m

Cross multiply both sides

X × (2-m)= 3m

2X-Xm= 3m

2X= 3m+Xm

2X= m(3+X)

Divide both sides by the coefficient of m which is (3+X)

m= 2X/(3+X)

Changing the subject of a formula involves rearranging the formula

m as the subject of the formula is: [tex]\mathbf{m = \frac{2x}{3 + x}}[/tex]

The equation is given as:

[tex]\mathbf{x = \frac{3m}{2-m}}[/tex]

Cross multiply

[tex]\mathbf{x(2-m) = 3m}[/tex]

Open brackets

[tex]\mathbf{2x-mx = 3m}[/tex]

Collect like terms

[tex]\mathbf{2x= 3m +mx}[/tex]

Factor out m

[tex]\mathbf{2x= m(3 +x)}[/tex]

Divide both sides by 3 + x

[tex]\mathbf{\frac{2x}{3 + x}= m}[/tex]

Rewrite the above equation as:

[tex]\mathbf{m = \frac{2x}{3 + x}}[/tex]

Hence, m as the subject of the formula is:

[tex]\mathbf{m = \frac{2x}{3 + x}}[/tex]

Read more about the subject of formulas at:

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How many terms does this polynomial have? 5a-2b+5

Answers

this polynomial has 3 terms

Answer:

3 terms

Step-by-step explanation:

How many solutions does this equation have?

–4j = –8j + 4j

Answers

Answer:

Your Mom just remember your a di*k and thats why your parents burned your birth certifcate

Step-by-step explanation:

if your gonna do that to me, remember i have copy and paste<3.

First person to answer gets brainly

Answers

Answer:

hi lol..........how r u

Zelda makes herbal teas to Her most popular blend is a combination of 2 kinds of mint, 80\% spearmint and 20\% peppermint, by weightShe buys the mint from a wholesale company. The prices she pays for each are shown in the table.

Answers

Answer: Mint or mentha belongs to the Lamiaceae family, which contains around 15 to 20 plant species, including peppermint and spearmint. It is a popular herb that people can use fresh or dried in many dishes and infusions. Manufacturers of toothpaste, gum, candy, and beauty products often use mint oil, or something like that.

If there is a very weak correlation between two variables, then the coefficient of determination must be:__________.

Answers

Answer:

zero

Step-by-step explanation:

The coefficient of determination (R², or the square of the linear correlation coefficient r) is an indicator that allows us to judge a simple linear regression quality. It measures the fit between the model and the observed data or how well the regression equation is suited to describe the distribution of points.

A strong correlation between two variables is usually greater than 0.8. A weak correlation between two variables is usually less than 0.5, but a very weak correlation between two variables will be near zero.

The red team and the blue team played a game. The red team scored 5 times the amount of points as the blue team. If the total points scored was 48, what is the ratio of red points to blue points

Answers

Answer:

red team scored 40. blue team scored 8.

Determine the slope of the line of the two given points:

(6, 4), (15, 12)

Answers

Answer: 1.3125

Step-by-step explanation: Rise over run so 21/16, which if you open up your calculator you can divide 21 by 16 and your answer is 1.3125. Have a great day and message me with any more questions!

Can anyone help me with this fraction
x/-4 = 9 =

Answers

Answer:  x= -36

Step-by-step explanation:

-36/-4=9

|-2-(-2.5)|
What is the value of the expression

Answers

Answer:

0.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

|-2-(-2.5)|

|-2-+2.5|

|-0.5|

0.5

Using π = 3.14, find the area of a circle with a radius of 7. Round your answer to the nearest hundredth

Answers

Answer:

The formula for calculating the circumference (C) of a circle, C = πD or C = 2πR, is simple if you know the circle's diameter (D) or radius (R). But what do you do if you only know the circle's area? Like many things in math, there are multiple solutions to this problem. The formula C = 2√πA is designed to find a circle's circumference using the area (A). Alternatively, you can solve the equation A = πR2 in reverse to find R, then plug R into the circumference equation. Both equations provide the same result.

Step-by-step explanation:

The formula for calculating the circumference (C) of a circle, C = πD or C = 2πR, is simple if you know the circle's diameter (D) or radius (R). But what do you do if you only know the circle's area? Like many things in math, there are multiple solutions to this problem. The formula C = 2√πA is designed to find a circle's circumference using the area (A). Alternatively, you can solve the equation A = πR2 in reverse to find R, then plug R into the circumference equation. Both equations provide the same result.

30 tens =___ 100
30 ten's is equal to how many 100's

Answers

Answer:

3

Step-by-step explanation:

30 tens is basically 30 x 10 = 300

300/100 = 3

you get 3 hundreds from 30 tens

Help me out pleaseeeeeeeee

Answers

Answer:

D

Step-by-step explanation:

Because it's right I don't know how to explain but I had that question before and got it right D

I agree D is the answer

Triangle ABC with vertices A(-3,2), B(-1,7) and C(6,1) in the x axis what is B reflected

Answers

Answer:

Reflected from the x axis, B would be (-1,-7)

Step-by-step explanation:

I'm not good with explaining, but you basically flip the triangle or mirror it to the x axis.

Simplify completely
5V2 + 3V2

Answers

Answer:

Step-by-step explanation:

Sqrt(2)(5+3)

8sqrt(2)

Helppppppppppppppppppppp

Answers

Answer:

It would be answer choice D

The answer is D. The force of gravity is pulling the box towards the ground which makes the action of putting down the box easier to do.

If the number of different activities is represented by four consecutive odd integers, what is the algebraic expression that represents the total number of activities they have to choose from in one day?

Answers

=4x+12
Apply the distributive property
Arrange like terms
Simplify
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