Question

Desperately need help with this

Imagine you are the owner of a pizza shop that offers three different types of crusts, seven different toppings, and three different cheeses.Create an advertisement for your shop that lists all the choices you offer and advertises a three-topping pizza with one type of cheese for $9.99. Complete this statement and include it on your advertisement: "We offer _______ different 3-topping pizza choices for you to choose from!"

How do I find the number of choices?

Answer 1

Choose a crust: \(^3C_1\)
Choose three toppings: \(^7C_3\)
Choose a cheese \(^3C_1\)
Multiple them all together.

Answer 2

what does C mean?

Answer 3

\[\Large C^n_r=\frac{n!}{(n-r)!r!}\]

Answer 4

I don't know why he put the first number in front of the C but they mean the same thing don't they

Answer 5

C stands for combination

Answer 6

So it's the formula?

Answer 7

Yep

Answer 8

what does r and n mean?

Answer 9

Just two variables in a formula

Answer 10

Wait I think C stands for choose

Answer 11

Because we pronounce \(\Large C^n_r\) as "n choose r".

Answer 12

That means the number of ways to choose "r" things from "n" things

Answer 13

ignoring order

Answer 14

So you create a formula for each right?

Answer 15

There's only one formula \(\Large C^n_r=\frac{n!}{(n-r)!r!}\)