There are 14 European cities that Sam would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)

Answers

Answer 1

Answer:

2184 different schedules

Step-by-step explanation:

Sam can make different schedules of the same three cities, so order of cities does matter, but no repetition is allowed. This makes this a permutation without repetition.

When we choose from n items, and we choose r of them, our formula is

n! / (n-r)!. We have 14 things to choose from, and 3 to choose, so our formula becomes

14! / (14-3)! = 14!/11! = 14*13*12 = 2184 different schedules


Related Questions

My mom walks 1 mile in 14
minutes. If she walked for 56
minutes, how far did she walk?

Answers

Answer:

4 miles

Step-by-step explanation

If your mom can walk 1 mile in 14 minutes then 2 miles would take her 28 minutes 3 miles would take her 42 minutes and finally if she walked 4 miles it would take her 56 minutes.

14 + 14 + 14 + 14 = 56

14 x 4 = 56

Please help me prove that ED is congruent to BA! I thought I had it right by proving right and vertical angles, but I’m missing something

Answers

Step-by-step explanation:

[tex]\overline{DA} \text{ bisects } \overline{EB}[/tex]     is given

[tex]\overline{BC} \cong \overline{EC}[/tex]  definition of bisect

[tex]\overline{EB} \perp \overline{ED}, \, \overline{EB} \perp \overline{BA}[/tex]  are both given

[tex]\angle B, \, \angle E \text{ are right angles}[/tex]  definition of perpendicular

[tex]\angle B \cong \angle E[/tex]   because all right angles are congruent

[tex]\angle{ACB} \cong \angle{DCE}[/tex]  vertical angles are congruent

[tex]\triangle{ACB} \cong \triangle{DCE}[/tex]   ASA (angle-side-angle)

[tex]\overline{ED} \cong \overline{BA}[/tex]  CPCTC (corresponding parts of congruent triangles are congruent)

At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a dessert for $7.99. You had amazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?

Answers

The total bill after the tip, discount, and tax is $37.76.

The total cost of the order is reduced by the coupon and increased by the tax paid and tip.

Total cost of the items bought = cost of the drink + appetizer + Cajun + dessert

$2.99 + $9.99 + $11.50 + $7.99 = $32.47

Value of the tip = 20% x $32.47 = $6.49

Cost of the items after the coupon: (100% - 10%) x $32.47

90% x $32.47

0.9 x $32.47 = $29.22

Cost of the items after the tax: (1.07) x $29.22 = $31.27

Total cost of the items = $31.27 +$6.49 = $37.76

To learn more about taxes, please check: https://brainly.com/question/25311567

746 divided by 40 with remainder

Answers

It would be 18.65 with a remainder of 1

Answer:

Quotient: 18; Remainder: 26

Step-by-step explanation:

Please open the PDF file for work.

Hoped this helped.

[tex]GeniusUser[/tex]

Rate of change for y=5x+30

Answers

Answer:

5

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Multiply. −2(−5)(−3)

Answers

Answer: -30

Step-by-step explanation:

-2 X -5 = 10

10 X -3 = -30

Therefore, -2(-5)(-3) = -30

The multiplication of −2(−5)(−3) is -30

The multiplication of numbers in brackets with negative signs takes a method whereby the signs are taken into account when performing the arithmetic operation.

From the given question, we are to multiply:

= - 2 × (-5) × (-3)

= +10 × (-3)

= -30

Learn more about the multiplication of numbers here:

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Maya solved 1/4 of a crossword puzzle before dinner and a part of it after dinner. If Maya solved 3/4 of the crossword in all, what fraction of the puzzle did she solve after dinner?
Choose the equation that matches the word problem.

Answers

Answer:2/4

Step-by-step explanation: you would just subtract 3/4 by 1/4 to get 2/4

Please help me solve this question I'm stuck on

Answers

The answer to the question is

D)  ($9. 60, $9. 84)

Someone Help?

Find the problem:

22 + 53x + x = -20 + 60x

22+ 54x = -20 + 60x

22= -20+ 6x

2= 6x

x = 1/3


Fix the problem (Rewrite and solve):

Answers

the final solution is x=7

-35.9=y/0.1+0.1 please help me with this.

Answers

Answer:

358.9 I think

Step-by-step explanation:

Write the ratio 4 1/5 to 5 2/5 as a simplified fraction

Answers

Answer:

[tex]\huge\boxed{4\dfrac{1}{2}:5\dfrac{2}{5}=5:6}[/tex]

Step-by-step explanation:

[tex]4\dfrac{1}{2}:5\dfrac{2}{5}[/tex]

we convert a mixed number to an improper fraction

[tex]4\dfrac{1}{2}=\dfrac{4\cdot2+1}{2}=\dfrac{9}{2}\\\\5\dfrac{2}{5}=\dfrac{5\cdot5+2}{5}=\dfrac{27}{5}[/tex]

Therefore

[tex]4\dfrac{1}{2}:5\dfrac{2}{5}=\dfrac{9}{2}:\dfrac{27}{5}=\dfrac{9\!\!\!\!\diagup^1}{2}\cdot\dfrac{5}{27\!\!\!\!\!\diagup_3}=\dfrac{1}{2}\cdot\dfrac{5}{3}=\dfrac{1\cdot5}{2\cdot3}=\dfrac{5}{6}=5:6[/tex]

The ratio 4 1/5 to 5 2/5 is equivalent to the simplified fraction 7/9.

How to write the simplified faction

To write the ratio 4 1/5 to 5 2/5 as a simplified fraction, we need to convert both mixed numbers to improper fractions and then find their ratio.

Step 1: Convert the mixed numbers to improper fractions:

4 1/5 = (4 * 5 + 1) / 5 = 21 / 5

5 2/5 = (5 * 5 + 2) / 5 = 27 / 5

Step 2: Find the ratio by dividing the first fraction by the second fraction:

Ratio = (21 / 5) / (27 / 5)

Step 3: To divide by a fraction, multiply by its reciprocal:

Ratio = (21 / 5) * (5 / 27)

Step 4: Simplify the fraction:

Ratio = (21 * 5) / (5 * 27)

Ratio = 105 / 135

Step 5: Simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 15:

Ratio = (105 / 15) / (135 / 15)

Ratio = 7 / 9

Learn more about simplified fraction

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HELP PLEASE!! WILL GIVE BRAINLIEST TO CORRECT QNSWER.

Use the quadratic formula to find the solution to the quadratic equation given below.

x²-x+¼=0​

Answers

X = 1/2 =0.500

Mark as brainliest

A 5 foot wide painting should be centered on a 11 foot wide wall. How many feet (x) should be on each side of the painting?

Answers

Answer:

3 feet on each side

Step-by-step explanation:

11 - 5 = 6

6/2 = 3

The length of a rectangle is 6 less than triple its width. If the perimeter is 84 feet, find the length and width of the rectangle.

Answers

Answer:

0.00714285 less per foot

Step-by-step explanation:

Based on the data given in the frequency table below, does a greater percent of eleventh
or twelfth graders surveyed like tennis? Use conditional relative frequencies to support
your answer.
Like Tennis
Grade
Yes
No
Total
Eleventh
45
50
95
Twelfth
62
28
90
Total
107
78
185
Rounded to the nearest thousandth, the conditional relative frequency that an eleventh
grader likes tennis is
Rounded to the nearest thousandth, the conditional relative frequency that a twelfth
grader likes tennis is
Since
% is less than %, a greater percent of (select)
like tennis.

Answers

Answer: the answers vary since mine and urs are different, so these are my answers: 0.48, 0.63, 48, 63, twelth graders. youll have too think about it a lil bit, sry

Mark brainliest pls and also look at picture if u don't understand

Step-by-step explanation:

Yw :) :D

Stop looking up answers on brainly

A sixth grade class collects 176 items for recycling three out of every eight items are cans the rest are bottles how many bottles does the class collect

Answers

Answer:

110

Step-by-step explanation:

We know that 5/8 of 176 so the answer is 110.

110 bottles class collect.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A sixth grade class collects 176 items.

Now,  three out of every eight items are cans

= (8- 3)

= 5

So, number of bottles class collect

= 176 x 5 / 8

= 22 x 5

= 110

Hence, 110 bottles class collect.

Learn more about unitary method here:

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HELP ME ASAP!!!
Question 3(Multiple Choice Worth 5 points)
(04.04 MC)

If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?

5 hours
15 hours
18 hours
45 hours

Answers

Answer:

45 hour GIVE BRAINLY PLZ

help me i really need it

Answers

Answer:

A (0, -4)

Step-by-step explanation:

A(0,-4) step by step is

Pleaseeeee help ASAP thank youuu!!!!!!!

Answers

Solve the equation for x

Substitute the given value of x into the equation 3x+2y+z=13

Substitute the given value of x into the equation 2x+y+3z=9

Simplify the expression

Substitute the given value of x into the equation -y+9z=1

Solve the equation for y

Substitute the given value of y

Simplify the expression

(x,y,z) = (5,-1,0)

9. YOU BE THE TEACHER Your friend
says 9 divided by 2.5 is about 3. Is your friend's
estimate reasonable? Explain.

Answers

Answer:

Step-by-step explanation:

Yes, it's reasonable.

What you are doing is solving the question by rounding. You come up with an answer. Suppose you loose the decimal somewhere and you get 0.36? Is that reasonable? Do you just write the answer in the provided blank and move on. What now?

You get it wrong?!!

But your estimate should be about 9/3 = 3. Now you look at your calculator with great misgivings, because it made a mistake. Did it or did you? Well ultimately you did, but you have to blame something. So the calculator takes the heat.

Who  knows? Maybe the decimal doesn't work. It's stuck or something. In any event you should be aware that there's no way the answer could be 0.36 when you estimate it to be 3.

You are asked to examine a t-shirt that was worn when someone was suspected to have fired a gun. The

detective wants to see if there is gunshot residue on it. Which microscope will you use for this task? SOMEONE PLZZZZ HELP ME ON THIS!

Answers

Answer:

The scanning electron microscope

Step-by-step explanation:

The scanning electron microscope can determine the proximity to a discharging firearm and/or the contact with a surface exposed to GSR

The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (2,48) and (7,168) to find
the number of soda bottles the machine can make
each minute.

Answers

Answer:

24

Step-by-step explanation:

The number of soda bottles the machine can make  each minute is the unit rate, slope. To find slope using those two points, use the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify the points: (2,48)  (7,168)

[tex]y_2=168[/tex]

[tex]y_1=48[/tex]

[tex]x_2=7[/tex]

[tex]x_1=2[/tex]

Plug these into the formula then solve:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{168-48}{7-2}[/tex]

[tex]=\frac{120}{5}[/tex]

[tex]=24[/tex]

The slope is 24, and therefore the unit rate. Hence, the machine can make 24 soda bottles each minute.

Simple way

Where you see the point at 48 and 2, it means [tex]\frac{48}{2}[/tex]. So divide

48 ÷ 2 = 24.

Suraj took a slice of pizza from the freezer and put it in the oven. The pizza’s temperature (in degrees celsius) as a function of time (in minutes) is graphed. What was the pizza’s temperature after 2 minutes?

Answers

For this case, the first thing we should do is write the linear function that best suits the table.

In this case we have the following function:

y = 7.5x - 5

C = 7.5t-5

For C = 100 we have:

100 = 7.5t-5

We clear the time:

t = (100 + 5) / (7.5)

t = 14

Answer:

it did take the pizza to reach 100 degrees Celsius about 14 minutes

Write an equation for the situation: Kristian has $200 which is two times Alejo's money plus $20.​

Answers

Answer:

x= 2y + 20

Step-by-step explanation:

we could say kristian and alejo, Bob and Bill, shelled and Jackie or just about any other two words so let's call them x any y. kristian is x and also is y.

so kristian (x) has twice as much money plus another 20.

this means x has 2 times plus 20 more than y.

so x= 2y + 20

could you help me with this? its an ss here:

Answers

-8-5=2 i think this is right i could b wrong
2-(-8)=10

When subtracting a negative number, you will actually add. You can double check this by counting on the number line. Make sure you count by 2.

Need help with this question pre collegee

Answers

Answer:

Step-by-step explanation:

the domain is (-∞,∞)

8. Paula needs to replace the floor in her family room since her cat peed in several
places. She wants to put down both vinyl flooring and carpet in the room. The
carpet she selected costs $2 per square foot. The vinyl floor covering costs $1
per square foot. She has $500 to spend on materials and must cover an area of
300 square feet. How much carpet and vinyl flooring will she buy to meet her
requirements?

Answers

So Looks like it’s area so 2x1x500x300 =300000

Help. i need it ASAP

Answers

Answer:

The third choice is correct.

Step-by-step explanation:

The segments shown below could form a triangle.
A. True
B. False

Answers

False

When completing something like this, the Phythagoream Therom comes into focus. It states that:

A^2 + B^2 = C^2

According to my calculations, A^2 + B^2 = 130 whereas C^2 is 320. This is incorrect and therefore is false.

Jada buys 5 notebooks and 6 pens. Each notebook costs $4. Jada pays the cashier $40 and gets $8 change.
What is the cost, in dollars, of one pen? Show or explain how you got your answer.

Answers

Answer:$2

Step-by-step explanation:

5 notebooks cost $4 each

5*$4=$20

Jada pays the cashier $40 and gets $8 back

So in order to figure out how much was paid you take

$40-$8=$32

Then to figure out how much each pen cost I take

$32-$20=$12

So there was 6 pens that were bought and to get the total per each pen

$12/6=$2 each per pen

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