Suppose you are asked to list in order of preference the best three movies you've seen this year. If you saw eight movies this year, in how many ways can the three best be chosen and ranked?

Answers

Answer 1

Answer:

The three best can be chosen and ranked in 336 ways.

Step-by-step explanation:

Since you are asked to list the movies in order of preference, the order is important, as a higher order leads to a higher preference. This means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

If you saw eight movies this year, in how many ways can the three best be chosen and ranked?

[tex]P_{(8,3)} = \frac{8!}{(8-3)!} = 336[/tex]

The three best can be chosen and ranked in 336 ways.


Related Questions

Will GiVE BRAINLIEST!!!!
A carpenter uses two different types of paint in his work, X-Brand and Y-Brand (represented by the x and y variables respectively in the system of equations below). The system of equations represents the total cost and amount of paint he purchased for a client. Determine the cost, in dollars, of the X-Brand.
2x+5y=6
−x+2y=−3

Answers

Answer

$3

Step-by-step explanation:

To find the x value, you want to cancel out the y terms in the equations. To do so, multiply (2x+5y=6) by 2, and (-x+2y=-3) by -5. This gives you

4x+10y=12

5x-10y=15

You can then cancel out the y terms and add the other terms from the 2 equations together to make

9x=27

You then divide 27 by 9 to get 3 as the value for x.

How do I get from step 2 to step 3?

Answers

Answer:

do the floss

Step-by-step explanation:

I think you divide 16 on both sides and add them together.
But I really don’t know
Sorry :(

-4(3x - 2x + 4y)
Simplify the expression

Answers

Answer:

− 4 x − 16 y

Step-by-step explanation:

Answer:

− 4 x − 16 y

Step-by-step explanation:

Surface area to volume ratio for a sphere

Answers

A45. Bbbb I have to go get out there a few minutes later to pick

Please help me with this ASAP ASAP please please help

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Answer:

Step-by-step explanation:

Base perimeter : 4 x 2 x π = 8π cm

LA = 8π x 4 = 32π cm^2

Base area: 4^2 π = 16π cm^2

SA = 2 x 16π + 32 = 64π cm^2

V = 16π x 4 = 64π cm^3


Please help me PLEASE

Answers

Answer:

the answer would be Point F

Answer:

The answer is F

Step-by-step explanation:

Someone please answer this!!

Answers

5 miles

you can do a2+b2=c2. 4^2+3^2=c^2 16+9=c^2 25=c^2 then divide ^2 to each side. so u get 25 square root. when u solve u get 5.

(40)
8. Use the information in the figure
below to answer questions a. and b.
70°
W
N
Х
35°
a. What is mZw?
b. What is mZz?

Answers

w= 55
z= 55

for w take 90+35 then your answer minus 180 which would equal 55. w and y are vertical angles therefore you can add 55+70 and get 125, 180-125= 55, so 55 would be the answer for both w and z

Which expression can go in the blank to make this equation true
-4.5 + 4.4 + ? = 0

Answers

Answer:

+ 0.1

Step-by-step explanation:

So, first, we will add together -4.5 + 4.4, which equals -0.1. Then, we need to add the positive value of that to make it 0, so we add 0.1. I Hope This Helps :)

Help ASAP I’m so confused

Answers

Answer:

1)  0.1 unit

2)  0.1 unit²

3)  0.15 unit²

What is the positive solution to the equation 2x^2 = 72?

Answers

Answer:

x= 6

Step-by-step explanation:

6*6=36*2=72

2x^2=72
x^2=36
x=±6
x=6
x=-6

What is the value of x in the figure qor =65 and dot =70 ? Not at is a straight line

Answers

Answer:

its 65

Step-by-step explanation:

if you add it up u would see

56,095 to the nearest whole number​

Answers

Answer:

56,000

Step-by-step explanation: the neareat whole number is 6000 so you yust take away the 96 and add two zeros

How to solve this question ​

Answers

Answer:

D) 60°

Step-by-step explanation:

Because TV and YZ are parallel, and TY and VZ are equal, angle T is equal to angle V.  Also, Y and Z would each be 120°.

The answer is 60 degrees

Add the fractions 3/14+15/21. Simplify your answer

Answers

When simplified, it should be 13/14

The solution of fractions 3/14 + 15/21 is,

⇒ 3/14 + 15/21 = 39/42

We have to given that,

To add the fractions 3/14 and 15/21.

Now, We can add the fractions as,

⇒ 3/14 + 15/21

Since, LCM of 1 and 21 are 42.

Hence, Make the denominator same,

⇒ 9/42 + 30/42

⇒ (9 + 30) / 42

⇒ 39/42

Therefore, The solution of fractions 3/14 + 15/21 is,

3/14 + 15/21 = 39/42

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

I need the answer with justification please​

Answers

The chance of getting an even number for 1 roll is 1/2 ( half the numbers are even.)

For 3 times in a row:

1/2 x 1/2 x 1/2 = 1/8

The answer is 1/8

Pls someone help me with this question pls

Answers

Answer:

9/11

Step-by-step explanation:

9/11

Solve the system of equations using linear combination. -4x+y=10 -2x-y=-1

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

|x − 5| − |2 − x| + |x + 1| , if x ≥ 5

Answers

Answer:

9990% 222$

Step-by-step explanation:

if you work it will help u head

Given the function h(n)= n squared - 1, find h(-4).​

Answers

h(-4)= (-4)^2-1
(-4)^2=16
16-1=15

h(-4)=15

Use PEMDAS to evaluate the expression 24 ÷ 3 + 6 x 4 − 11. 19 21 22 24
asap

Answers

Answer:

The answer is 21 if you use PEMDAS.

Answer:

21

Step-by-step explanation:

PEMDAS= Parenthesis Exponents Multiplication Division Addition Subtraction

Hope this helps! have a great day!  

Plz help I’m down bad atm

Answers

Answer: Second option, 2^2x+6=2^6

Step-by-step explanation:

You can simplify 4^x+3 by making the 4 into 2^2. By doing this you also multiply the current powers of 4 by 2, giving you (x+3) • 2, furthermore, 2^2x+6.

64 is a power of 2, so just multiply 2 by itself until you get the number you’re looking for and count how many times you do it. Or just type each option, like 2^4, 2^6 into the calculator until you find it.

what is the absolute value of 1,123?​

Answers

Answer:

1,123 is the absolute value because it is a positive integer hence it reaches the positive absolute value

Answer:

the correct answer is 1,123

Step-by-step explanation:

absolute value is the non-negative value of a real number, without regard to its sign. which means [1,123]= 1,123

Please help me simplify this! Thank you so much!

Answers

Step-by-step explanation:

8∧-2 x (8∧2)∧3

=8∧-2 x 8∧6

=8∧(-2+6)

=8∧(4)

pls help with this geomtry question asap

Answers

tvtctcrctrccrccrcrcrcrcrcrcrcrrcrccrcr

|y-x|, if y>x PLZ HELP

Answers

Answer:

56tt8989899999999×-×554545--455356788:988

863 to the nearest 100​

Answers

I think it would be 900

Answer

the correct answer is 900

what is the fraction 7 x 1/4 = ____

Answers

change 7 to a fraction
7/1 x 1/4
= 7/4

Answer:

4/7 is the answer

Step-by-step explanation:

7 x ¼

=7/4

Pls help! Due soon. I will give brainiest *no links*

Answers

Answer:

#2 a.

#3 c.

#4 a.

#5 c.

#6 b.

Find the areas of the trapezoids.

Answers

Answer:The top side is 5,the top is 2,the bottom side is 5,and the bottom is 5

Answer For the other shape:The top is 2,the bottom is 6,the left is 4,the right is 4

Step-by-step explanation:

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