Given the following scenario, decide if it is a permutation or combination, and then calculate the possibilities. Papa John’s pizza has 17 different toppings to choose from. In how many ways can you make a three topping pizza?

Answers

Answer 1

Answer: It is a combination because the order in which the toppings are used does not change the result.

The formula of combination is C 17,3 = 17!/(3!14!) = 17x16x15/(3x2) = 17x8x5 = 680 different ways.

Related Questions

Look down below for question
1.Выполните действия:а) (а^2– 2b)^2б) (-7x — 1)^2в) (-5а +2в^4)^2г) (x-12)(х+ 12)д) (- 4n^3 +7)(4n^3+7)
Find the solution set of the equation 8x₁ +2x-₂-5x₃+6x₄ = 1___
Solve this equation
Is 7x+y+3=y a linear equation. also is this in standard form

Choose the converse of the following statement.They are not left behind, if they are on time.

If they are not left behind, then they are on time.
If they are on time, then they are not left behind.
If they are not on time, then they are left behind.
If they are left behind, then they are not on time

Answers

The converse of a statement can be found by switching the hypothesis and the conclusion (the beginning and ending statements) of a phrase.

Therefore, we started with the statement

"They are not left behind, if they are on time."

To find the converse of this statement, we just need to switch the position of the two pieces.

Therefore, the converse is

"If they are on time, then they are not left behind."

You answer is the above statement or the second option.

Which angle is vertical to ABCDEF?

Answers

Answer:

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down.

Step-by-step explanation:

Hope this helps!

4x+3y = 21 2x+ y= help stuck

Answers

If x and y were equal then you would do 21/7 and that is 3 so x=3 and y=3 so if you do the second one then 6+3=9. So the answer is 9

This answer is done through substitution.
Use 2x+y = 0
y = -2x
Now, use this y value and substitute in the 1st equation
4x + 3 (-2x) = 21
4x + -6x = 21
-2x = 21
x = - 21/2
x= -10.5
Now, use this value into 1st equation again to find y
4(-10.5) + 3y = 21
-42 + 3y = 21
3y = 21 + 42
3y = 63
y=63/3
y=21
Use this and the value of X we got above to substitute in the 2nd equation.
2 (-10.5) + 21
=-21 + 21 = 0
The answer is zero.

If you want to keep the fraction and not use a decimal, you can do so from the previous steps. Still you will get the same answer.

Find the rate that would be better to solve the problem. A sunflower grows 28 cm in 8 days.
How many centimeters will it grow in 12 days?
a. CM / day
b. days/CM

Answers

I think the correct answer would be A. cm to days, because to find the unit rate, you have to reduce

a farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there?

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x=goatsy=ducks4x+2y=34x+y=11-y -yx=11-y4(11-y)+2y=3444-4y+2y=3444-2y=34-44 -44-2y=10/2 /2y=5x+y=11x+5=11-5 -5x=6goats=6ducks=5

There could be lots of answers. I'm going with 5 goats and 7 ducks.

Solve for x. 12:15 = x:5

Answers

The value of x will be;

⇒ x = 4

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The expression is,

⇒ 12 : 15 = x : 5

Now,

Since, The expression is,

⇒ 12 : 15 = x : 5

Hence, Solve for x as;

⇒ 12 / 15 = x / 5

⇒ 12 × 5 / 15 = x

⇒ x = 12 / 3

⇒ x = 4

Thus, The value of x = 4

Learn more about the proportion visit:

brainly.com/question/870035

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15/3 = 5
12/3 = 4
x = 4

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