How many different arrangements can be made with the letters from the word topic?

QUESTION POSTED AT 26/03/2020 - 02:37 PM

Answered by admin AT 26/03/2020 - 02:37 PM

Answer:  The total number of different arrangements is 120.

Step-by-step explanation:  We are given to find the total number of different arrangements that can be made with the letters from the word "topic".

The total number of letters in the word "topic"  =  5.

We know that

if there are n things, then the total number of different arrangements that can be made using "n" things is n!.

So, the total  total number of different arrangements that can be made using 5 letters will be

5! = 5 × 4 × 3 × 2 × 1 = 120.

Thus, there will be 120 different arrangements.

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Related questions

Tristen is a salesman whose base pay plus commissions amounted to $59,238 last year. if his base pay was? $31,050 and he made $97,200 in sales last year, what was his rate of commission? a) 61% b) 52% c) 29% d) 32%

Answer:

The commission rate is 0.29 or 29%

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Before we can solve this problem, we need to create a formula that calculates the total amount of Tristen's payment. The formula would be the following,

T = b + (r*s)

Where:

  • T is the total pay
  • b is the base pay
  • r is the rate of commission
  • s is the total sales

Now that we have the formula we can plug in the values from the question and then solve for the rate of commission (r)

59,238 = 31,050 + (r*97,200) .... subtract 31,050 on both sides

 28,188= r*97,200 .... divide both sides by 97,200

0.29 = r

Now we can see that the commission rate is 0.29 or 29%

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

ANSWERED AT 28/03/2020 - 12:39 PM


QUESTION POSTED AT 28/03/2020 - 12:39 PM

In how many ways can you rearrange the letters in the word REACH?

25 is correct.

Square how many letters there are. In this case 5.

So 5squared or 5 x 5.

ANSWERED AT 28/03/2020 - 12:32 PM


QUESTION POSTED AT 28/03/2020 - 12:32 PM

James made 15 out of 25 free throws. Later, he made 21 out of 25 free throws. What is the percent increase?

21-15=6
6/15=0.4
0.4=40%
So the percent increase is 40%
Hope this helps!!  ^.^

ANSWERED AT 28/03/2020 - 12:24 PM


QUESTION POSTED AT 28/03/2020 - 12:24 PM

Maria will spin the arrow on the spinner 2 times. What is the probability that the arrow will stop on the same letter twice? A. 1/9 B. 2/9 C. 1/3 D. 5/9

Answer:

probability that the arrow will stop on the same letter twice = \frac{1}{3} (c).

Step-by-step explanation:

Given : Maria will spin the arrow on the spinner 2 times.

To find : What is the probability that the arrow will stop on the same letter twice.

Solution : We have given a spinner that spin twice and stop on the same letter.

Formula for probability = \frac{number \ of \ favorable\ outcome}{Total \number\ of \possible \outcome}.

Here, total part of spinner = 3 and it spin two times

So, total possible outcome = 6.  Arrow ston on same letter twice( favorable outcome) =2.

Plugging the values in formula :

Probability =  \frac{2}{6}.

Probability =  \frac{1}{3}.

Therefore,  probability that the arrow will stop on the same letter twice = \frac{1}{3} (c).

ANSWERED AT 28/03/2020 - 12:20 PM


QUESTION POSTED AT 28/03/2020 - 12:20 PM

What is 78020008 in word form

Seventy-eight-million, twenty-thousand, eight.

ANSWERED AT 28/03/2020 - 12:19 PM


QUESTION POSTED AT 28/03/2020 - 12:19 PM

PLEASE HELP FAST!!!!!!!!!!!!!!!!!!!!!1 A car license plate is made up of 7 letters or numbers, where the numbers are whole numbers 0–9. Suppose that a license plate is randomly generated, one character at a time. What is the probability that the first character is a number? Enter your answer as a decimal rounded to the nearest hundredth in the box

It is .277
because there are 26 letters in the alphabet, and 10 numbers given (0-9)
add both amount of characters: 26+10=36
then put a number of numbers over the total amount of characters: 10/36
now divide 10 by 36
and you will get .277777, but since you said by the nearest hundredth, estimate and get
=.277


ANSWERED AT 28/03/2020 - 12:11 PM


QUESTION POSTED AT 28/03/2020 - 12:11 PM

Which words describe this shape? Choose all that apply. kite quadrilateral rhombus parallelogram Submit

That's really hard I can't figure it out at all by any chance

ANSWERED AT 28/03/2020 - 12:00 PM


QUESTION POSTED AT 28/03/2020 - 12:00 PM

Tina has to create a password for the security of a software program file. She wants to use a password with 3 letters. How many passwords are allowed if no letters are repeated and the password is not case sensitive?

26*25*24 (number of letters for first)*(number of letters for second) * number of letters for third) 
note: the number goes down as the one chosen cannot be repeated 

ANSWERED AT 28/03/2020 - 11:43 AM


QUESTION POSTED AT 28/03/2020 - 11:43 AM

In a discount basis loan interest is paid at the time the loan is made by deducting the amount from the loan

Yes I believe not really sure what the question is??

ANSWERED AT 28/03/2020 - 11:37 AM


QUESTION POSTED AT 28/03/2020 - 11:37 AM

Find the number of revolutions made by a wheel with a radius of 5 feet that traveled 633 feet.

Circumferance of the wheel = 2π(5) = 10π 

633 - 10π = 20.1490158 

=20.2 revolutions

ANSWERED AT 28/03/2020 - 11:32 AM


QUESTION POSTED AT 28/03/2020 - 11:32 AM

Liam chooses an investment plan that requires him to make an initial investment of $8,000. Then he contributes equal monthly investments of $300 for the next 10 years. What function represents the amount in dollars that Liam has invested in terms of the number of months since he made the initial investment?

Answer: The function would be,

f(x) = 8000+300x

Where x is additional investment for each month.

Step-by-step explanation:

Given,

The initial investment = $ 8000,

Also, he contributes equal monthly investments of $300,

Additional investment for x months = 300x

Thus, his total investment for x months = Initial investment + additional investment

f(x) = 8000 + 300x

Which is the required function.

ANSWERED AT 28/03/2020 - 11:24 AM


QUESTION POSTED AT 28/03/2020 - 11:24 AM

Jill made 20 muffin. She put them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins

Each have six in them because six times three equals eighteen and twenty minus two equals eighteen.hope this helps

ANSWERED AT 28/03/2020 - 11:09 AM


QUESTION POSTED AT 28/03/2020 - 11:09 AM

Sketch the net of the following figure on a sheet of paper and describe in words what is would look like.

The net would look like a square surrounded with four triangles, one on each side.

ANSWERED AT 28/03/2020 - 10:49 AM


QUESTION POSTED AT 28/03/2020 - 10:49 AM

Choose the word that matches this definition.two adjacent angles with a sum of 180 degrees A). supplementary B).vertical C).complementary

The correct answer would be A) supplementary

ANSWERED AT 28/03/2020 - 10:41 AM


QUESTION POSTED AT 28/03/2020 - 10:41 AM

Nineteen students play on a baseball team .how many ways can the batting order of 10 players be arranged?

Answer:  The required number of ways is 335221286400.

Step-by-step explanation:  Given that nineteen students play on a baseball team.

We are to calculate the number of ways in which the batting order of 10 players be arranged.

Since it is a situation of arrangement, the total number of ways will be equal to the permutation of 19 taken 10 at a time.

The formula for the number of permutations of n things taken r ata time is given by

^nP_r=\dfrac{n!}{(n-r)!}.

From the given information, we have

n = 19  and  r = 10.

Therefore, the number of arrangements is given by

^{19}C_{10}\\\\\\=\dfrac{19!}{(19-10)!}\\\\\\=\dfrac{19\times18\times17\times16\times15\times14\times13\times12\times11\times10\times9!}{9!}\\\\\\=19\times18\times17\times16\times15\times14\times13\times12\times11\times10\\\\=335221286400.

Thus, the required number of ways is 335221286400.

ANSWERED AT 28/03/2020 - 10:28 AM


QUESTION POSTED AT 28/03/2020 - 10:28 AM

A circle has a radius of 15 cm. What is the volume of the sphere made by rotating this circle?

This would be 14137.17. 

V=4/3 x π x r^3 = 4/3 x π x 15^3 ≈ 14137.16694

ANSWERED AT 28/03/2020 - 10:17 AM


QUESTION POSTED AT 28/03/2020 - 10:17 AM

An identification code is to consist of 3 letters followed by 3 digits

Is this a true or false question? If so I think that it is false.

ANSWERED AT 27/03/2020 - 12:45 PM


QUESTION POSTED AT 27/03/2020 - 12:45 PM

A spinner has four sections lettered A, B, C, and D. The table shows the results of several spins. Find the experimental probability of spinning each letter as a fraction in simplest form, a decimal, and a percent.

Answer: Probability of getting A is given by \dfrac{7}{20}=0.35=35%

Probability of getting B is given by \dfrac{7}{40}=0.175=17.5%

Probability of getting C is given by \dfrac{11}{40}=0.275=27.5%

Probability of getting D is given by \dfrac{8}{40}=\dfrac{1}{5}=0.2=20%

Step-by-step explanation:

Since we have given that

Number of possible outcomes of getting A = 14

Number of possible outcomes of getting B = 7

Number of possible outcomes of getting C = 11

Number of possible outcomes of getting D = 8

Total number of possible outcomes would be

14+7+11+8

=40

So, Probability of getting A is given by \dfrac{14}{40}=\dfrac{7}{20}=0.35=35%

Probability of getting B is given by \dfrac{7}{40}=0.175=17.5%

Probability of getting C is given by \dfrac{11}{40}=0.275=27.5%

Probability of getting D is given by \dfrac{8}{40}=\dfrac{1}{5}=0.5=20%

ANSWERED AT 27/03/2020 - 12:39 PM


QUESTION POSTED AT 27/03/2020 - 12:39 PM

How many 5-letter words that have the letter 'x' are possible? letters may be repeated, and the words don't have to be meaningful. (hint: first count the words without 'x' ?

Let's consider all of the possible arrangements for words that DO NOT have the x-letter in it.

Start by drawing a line for the five available slots:

_ _ _ _ _

These will represent the different arrangements of letters.
Since letters may be repeated, these are independent events, meaning the previous does not affect the concurrent term.

Thus, we can have 25 of the 26 different letters, since we're not counting the x.
The second slot can have 25, as well as the third, fourth, and fifth.

We can simplify this to become:
\text{Arrangements(no x): } 25^{5}

Now, let's consider all of the ways in which a five letter word can be made. Using the same logic, we get:
[tex\text{Arrangements: } 26^{5}[/tex]

Thus, the total number of ways in which we can arrange a 5-letter word with at least one X in it is:
\text{Total arrangements: } 26^{5} - 25^{5}

The calculator should do the rest.

ANSWERED AT 26/03/2020 - 02:29 PM


QUESTION POSTED AT 26/03/2020 - 02:29 PM

Kim made soup which contains 75 total ounces of beans. the soup has two kinds of beans, black and red. there are 4 times as many ounces of black beans as red beans. how many ounces of red beans are in the soup?

The answer would be 15 because 15 * 4 is 60 so the remaining amount would the amount of red beans there are in the soup

ANSWERED AT 26/03/2020 - 02:25 PM


QUESTION POSTED AT 26/03/2020 - 02:25 PM