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

QUESTION POSTED 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.

## Related questions

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 ### Google has just purchased your website that reviews GPS systems. You made a profit of$65,000. You would like to invest the $65,000 into an account that pays you an annual compounded interest rate of 5.5%. You want to make annual withdrawals over the next 10 years such that by the end of this 10 year period, the amount remaining in the account will be zero dollars. Determine, from the given information, the amount of the annual withdrawals. Round your answer to the nearest cent. a. 6,500 b. 7,023.45 c. 7,251.31 d. 8,623.40 See the formula of the present value of annuity ordinary through Google Solve for PMT PMT=65,000÷(((1−(1+0.055)^(−10))÷(0.055)))=8,623.40 ANSWERED AT 28/03/2020 - 11:14 AM QUESTION POSTED AT 28/03/2020 - 11:14 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 ### Marcos works 8 hours a day. He makes$19 an hour. On Tuesday, he only worked 3/4 of a day. How much did Marcos earn on Tuesday? Which answer gives the correct solution and explains how to check if the answer is reasonable? A. Solution: $57. Explanation: Since Marcos only worked 3/4 of the day, he made about 3 ×$20 or about $60. B. Solution:$456. Explanation: Since Marcos only worked 3/4 of the day, he earned about 3 × $20 or about$60. Since there are 8 hours in the work day, then Marcos made about 8 × $60 or about$480. C. Solution: $114. Explanation: If Marcos worked all day, then he would have made about 8 ×$20 or about $160. Since Marcos only worked 3/4 of the day, or 0.75, he would make about$120 (160 × 0.75).

Explanation: answer B is to little of an amount so that is not the answer and $19 multiplied by 8hrs is only$152 so there for the answer cannot be answer b, because that is way over the max amount that can be made in 8 hrs and 3/4 is really 6 hours out of 8 hours. And 6 multiplied by $19 is$114 so your answer would be C.

ANSWERED AT 28/03/2020 - 10:36 AM

QUESTION POSTED AT 28/03/2020 - 10:36 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

From the given information, we have

n = 19  and  r = 10.

Therefore, the number of arrangements is given by

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 =0.35=35%

Probability of getting B is given by

Probability of getting C is given by

Probability of getting D is given by

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

Probability of getting B is given by

Probability of getting C is given by

Probability of getting D is given by

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

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

### April made \$440 in tips last night waitressing. She had to give 20% of her tips to the boys who clean the tables.How much money did she have to give them.

88 dollars to the boys.

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

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

### There are 8 parents and 43 students going on a school trip. Two groups are made, a large one with thirty students and five parents, and a small group with 13 students and three parents. How many different ways can be the parents be chosen for the small group? How many ways can the students be chosen for the large group if Stefan and Dylan must be in the small group? How many ways can the groups be arranged if Reena and both her parents must be in the small group?

Divide them I can't divide them all rn tho because im helping other people

ANSWERED AT 27/03/2020 - 09:59 AM

QUESTION POSTED AT 27/03/2020 - 09:59 AM

### A class has 9 students who are to be assigned seating at random. What is the probability that the students will be arranged in order from shortest to tallest? (Assume that no two students are the same height.)

Hope this helped...

ANSWERED AT 27/03/2020 - 09:49 AM

QUESTION POSTED AT 27/03/2020 - 09:49 AM

### A bag as white and black ball in it. 3 of them are black. How many sets of 6 can be made from the 12 balls? How many of the total 6 sets contain 3 black balls?

2 sets of 6 can be made of 12

ANSWERED AT 26/03/2020 - 10:19 PM

QUESTION POSTED AT 26/03/2020 - 10:19 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:

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:

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