How many ways can Patricia choose 4 pizza toppings from a menu of 8 toppings if each topping can only be chosen once

Answers

Answer 1

Answer:  70

======================================================

Explanation:

Consider we have four slots A, B, C, D.

We have 8 choices for slot A, 7 for B, 6 for C, and 5 for D.

We count down because each time we can't reuse whatever topping was picked earlier.

Multiplying out those values gives: 8*7*6*5 = 1680

There are 1680 permutations. This would be the answer if order mattered, but it doesn't matter.

Since order doesn't matter, we have to divide by 4! = 4*3*2*1 = 24. This is the number of ways to arrange any group of 4 items.

We get 1680/24 = 70 as the final answer

--------------------

Another way to get the answer is to apply the nCr combination formula

[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]

with n = 8 and r = 4.

Another alternative is to use Pascal's Triangle. You would look in the row that starts with 1,8,... and count out 5 slots (because r starts at r = 0) to arrive at 70.


Related Questions

8th Grade Math Midterm

Answers

What about ittttttttt

Worth lot of points

Answers

Answer:

Step-by-step explanation:

plug in -3  into the given g(x) formula where x = -3

(3(-3) -5) / (-7(-3) -4)

(-9-5) / (21-4)

-14 / 17

[tex]-\frac{14}{17}[/tex]

Answer:

Step-by-step explanation:

x = -3 인 주어진 g (x) 공식에 -3을 연결합니다.

(3 (-3) -5) / (-7 (-3) -4)

(-9-5) / (21-4)

-14/17

Which graph represents the solution of the system:

y=3y=2x−1

Answers

Answer:

The second graph

Step-by-step explanation:

Answer: I think it's the 2nd option

Step-by-step explanation: (y=3) on the graph would be right between 4 and 2, going Horizontally across the graph

The (y=2x−1) goes diagonally down the graph: intercepting with the numbers shown on the following question

Also according to my calculations, the line is diagonally on the y intercept just like the second option

you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.

each ballon costs: ?
each banner costs: ?

Answers

Answer:

each balloon costs 1$ and each banner costs 3$

Step-by-step explanation:

The costs of each balloon and banner are $1 and $3 respectively.

What is a system of equations?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.

Let x represents balloons and y represents banners.

Establishing the equations,

x+y = 4

x = 4 - y......(i)

3x + 2y = 9...(ii)

Put eq(i) in eq(ii)

3(4 - y) + 2y = 9

12 - 3y + 2y = 9

y = 3

Put y = 3 in eq(i)

x = 4-3

x = 1

Hence, the costs of each balloon and banner are $1 and $3 respectively.

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Plz help! I really need this!

Answers

Answer:

x=16

Step-by-step explanation:

the remaining angle for thw triangle is found by subtracting the already shown angles from 180 (the angle some of a triangle) which happens to be 96 to get 84 but now you need to subtract 84 from 180 to find the angle on the other side of line because lines have a total angle measurement of 180 but we already kbow what this get's us because it's 96 now we devide 96 by 6 to get 16 our answer.

Evaluate the function E(z)=(z+1)^2 for the following values of z.

a. E(a)

b. E(a + h), h not equal to 0

Use a & b to evaluate the following, for h not equal to 0
c. E(a + h) - E(a) / h =

Answers

Answer:

a. E(a) = (a+1)²

b. E(a + h) = (a+h+1)²

c. E(a + h) - E(a) / h = (a+h+1)²- (a+1)²/h

Step-by-step explanation:

E(z)=(z+1)²

E(a) = (a+1)²

E(a + h) = (a+h+1)²

E(a + h) - E(a) / h = (a+h+1)²- (a+1)²/h

Which answer shows the proper use of the distributive property?

A. 2(a+b) = 2ab
B. 2(a+b) = 2a + b
C. 2(a+b) =2a+2b
D. 2(a+b) = a+2b

Answers

Answer:

c is showing the proper  distributive property

Step-by-step explanation:

C shows correct distribution

Simplify:1/5 + (-2/3)?

Answers

Answer:

SOOOOOO

Step-by-step explanation:

YOU MAKE  IT 1/5 + -2/3

INTOOO

3/15+-10/15

THENNNN

YOU ADD THEMMM

AND UU GETTTT

-7/15

SOOO THAT UR ANSWER ITSS A THE FIRST ONE

-7/15

James is playing his favorite game at the arcade after playing three times He has eight tokens remaining He initially had 20 tokens and the game cost the same number of tokens each time The number T of tokens has a function of g the number of games played write the formula T equals

Answers

20 tokens =T=20 I have no idea
the answer is t = -4g+20

i hope this helped you!

Let y be the number of dollars that Jon has and let x be the number of dollars Steve has. The graph shows the relationship between how much money they each have, as Jon pays Steve

Answers

The [tex]y[/tex] and [tex]x[/tex] axes in the above graph are compared to how much money Jon and Steve have, respectively. Thus, [tex]y=6+x[/tex] is the pictorial representation.

What are type and graph?

A graph is referred to as a mathematical construct that connects a collection of points to express a certain function. A pairwise link between the items is established using it. The lines that link the graph's vertices (also known as nodes) are its vertices (lines).

What purposes do graphs serve?

A common technique for graphically showing data linkages is the graph. Although takes up less space, a graph accomplishes the goal of conveying which is either too many more and complicated to be completely stated in the words.

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What is the slope. Write the answer in simplest form.

Answers

Answer:

-1/4

Step-by-step explanation:

Points: (-8, -3), (-24, 1)

slope = rise/run = difference in y / difference in x

Find the difference in the y-coordinates in either order:

Let's do 1 - (-3) = 1 + 3 = 4

Now we find the difference in x, but it must be in the same order we did the difference in y.

-24 - (-8) = -24 + 8 = -16

Difference in y = 4

Difference in x = -16

slope = 4/(-16) = -1/4

Answer: -1/4

Find all solutions of sinx-sqrt1-3sin^2x=0

Answers

Answer:

what

Step-by-step explanation:

that doesnt make any sense

Find the length of side x in simplest radical form with rational denominator?

Answers

Answer:

The value of x = √6/2

Step-by-step explanation:

Given

The hypotenuse of triangle = √2

Ф = 30°

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

here

Ф = 30°

Adjacent to 30° = x

hypotenuse = √2

so substituting

cos Ф = adjacent / hypotenuse

cos 30° = x / √2

x = √2 × cos 30°

x = √2 × √3 / 2

x = √6/2

Therefore, the value of x = √6/2

If the simple interest on ​$7000 for 5 years is ​$​2800, then what is the interest​ rate?

Answers

Answer:

R%= P × T /SI

r = $7000×5 /$2800

r= 12.5%

plzz thnx my answer..

Please help I really CANNOT get this wrong so pls:
2x-7-5(4x-7)

Answers

Answer:

Step-by-step explanation:

2x - 7 -5(4x-7)

2x - 7 -20x + 35

-18x + 28  

Answer:

-18x + 28

Step-by-step explanation:

2x-7-5(4x-7)

1. Distributive Property

2x - 7 - 5*4x - 5*-7 ( 2 negatives make a positive)

2x - 7 - 20x + 35

2. Combine like terms

2x - 7 - 20x + 35

-18x + 28

you cannot simplify it anymore

What is 514 times 33?

Answers

Answer:

16,962

Step-by-step explanation:

Hope that helps lol.

Which class has a ratio of girls to total students of 7:10?
A. class with 3 boys and 7 girls
B. class with 7 boys and 3 girls
C. class with 7 boys and 10 girls
D. class with 10 boys and 7 girls

Answers

Answer:

A

Step-by-step explanation:

The total class is 10

the number of girls is 7

ratio of girls to total students - 7:10

A jar contains 12 caramels, 7 mints and 16 dark chocolates. The probability of selecting a dark chocolate, eating it, and then a selecting a caramel is the setup. What is the probability fraction of "selecting a dark chocolate".

Answers

Answer:

45.7%

Step-by-step explanation:

12 + 7 + 16 = 35

16/35 = 0.457 = 45.7%

can you please help me with this?​

Answers

Answer:

B?

Step-by-step explanation:

I beilieve its B? Ive never heard about dances for inuguration.

Help please due soon

Answers

Answer:

b is 42

hope that helpssss

is 2 and 7 eighths greater than 2 and one half.

Answers

Answer:

Yes.

Step-by-step explanation:

To clarify this convert the question into a fraction to make it look like this 2 7/8 and 2 1/2.  1/2 is 50% and 7/8 is 87.5%, the better percentage, the greater the number is.

4 + 3(4 - 2)^2 - 3(3 - 2)^3

Answers

PEMDAS

4+3(4-2)^2 - 3(3-2)^3
4+3(2)^2 - 3(1)^3
4+3(4) - 3(1)
4+12-3
16-3
13

The answer is 13

A rectangle measures 7.08 cm by 3.2 cm.
Work out the area of the rectangle.​

Answers

Answer:

22.67 cm^2

Step-by-step explanation:

The computation of the area of the rectangle is shown below:

As we know that

Area of the rectangle = Length × breadth

Here we assume the length be 7.08 cm

Or breadth be 3.2 cm

Or if we assume them inverse like length be 7.08 cm and breadth be 3.2 cm

SO the area of the rectangle is

= 7.08 cm × 3.2 cm

= 22.67 cm^2

In the both cases the answer would be the same

6) a pizza is divided among John, Tim and kevon . John received 3/8 and Tim received 1/3 of the remainder. What fraction does Kevon receive? (A) 5/8 (B) 9/24 (C) 5/24 (D) 10/24​

Answers

I thinks A 5/8 hoped this helped

Answer:

C. 5/24

Step-by-step explanation:

John = 3/8

Tim = 1/3

Kevon = ?

---------------------------------

3/8 = 0.375

1/3 = 0.333

0.375 + 0.333 = 0.708

0.292 is left

---------------------------------

5/8 = 0.625 - wrong

9/24 = 0.375 - wrong

5/24 = 0.208333 = 0.293

10/24 = 0.416667 - wrong

---------------------------------

Find the unit rate of 624 calories in 3 servings. Its 8th grade math.

Answers

The answer is 208 calories per serving

Answer:

you can look up the exact quizizz your taking and find all the answers

Step-by-step explanation:

for example: look up your question on the quizizz and then type it in the search bar and add quizziz to the end of it and you should find all your answers there<3

what is the location of 0,1? i need help heheheh​

Answers

Answer:

Free Coins!!!

Quadrant 1 if that's what your talking about

The graph below shows a couple of plotting points, one of them being 0,1.

Mia is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Mia will earn $50 every time one of her songs is played in a commercial and she will earn $120 every time one of her songs is played in a movie. How much would Mia earn if his songs were played in 5 commercials and 3 movies? How much would Mia earn if his songs were played in cc commercials and mm movies?

Answers

Answer:

50c + 120m represents Mia's earnings with c commercials and m movies

Mia would earn $610 with 5 commercials and 3 movies

Step-by-step explanation:

First, create an expression that represents her earnings with c commercials and m movies:

50c + 120m will represent her earnings with c commercials and m movies

Now, find her earnings with 5 commercials and 3 movies:

50c + 120m

50(5) + 120(3)

= 250 + 360

= 610

So, Mia would earn $610

Answer:

$610

Step-by-step explanation:

Ok so I would multiply $50 with 5 because it costs $50 for one commercial and there are 5 of them. You get $250 from it.

Next you multiply $120 and 3 because it costs $120 for 3 movies. You get $360.

Now you add and you get your answer which is $610.

Please help me with this question

Answers

3 x 3/4= 9/4 or 2 1/4
7 x 3/8= 21/8 or 2 5/8
5 x 2/3= 7/3 or 2 1/3
4 x 1/5= 4/5

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer:

D (-2,6)

x=y-8;5x+y=-4

Step: Solve x=y−8for x:

Step: Substitute y−8 for x in 5x+y=−4:

5x+y=−4

5(y−8)+y=−4

6y−40=−4(Simplify both sides of the equation)

6y−40+40=−4+40(Add 40 to both sides)

6y=36

6y /6 = 36/ 6  (Divide both sides by 6)

y=6

Step: Substitute6foryinx=y−8:

x=y−8

x=6−8

x=−2 (Simplify both sides of the equation)

x=−2 and y=6

I hope this helps:

can someone fill in the chart please!!

Answers

Answer: (P 3, -3, 4, -4) {q 14. -14, 7, -7} [P + Q 17, -17, 11, -11]

Hope this helps! :)

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