Sarah goes to her local pizza parlor and orders a pizza. She can choose either a large or a medium pizza, has a choice of one of seven diffrent toppings (extra cheese, pepperoni, sausage, beef, green pepper, onion, mushroom) and can have three different choices of crust (thin, regular, pan). How many different pizzas could Sarah order?

Respuesta :

2 sizes, 7 toppings and 3 crusts

multiply the choices together:

2 * 7 * 3 = 42 different pizzas

Sarah could select from 42 different pizzas.

What is a combination?

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected.

For the given situation,

Number of sizes of pizza = 2

Number of toppings = 7

Number of choices of crust = 3

The formula for combination is nCr = n! / r!(n-r)!

The number of different pizzas Sarah could select for her order,

⇒ [tex](2C_{1}) (7C_{1} )(3C_{1} )[/tex]

⇒ [tex](2)(7)(3)[/tex]

⇒ [tex]42[/tex]

Hence we can conclude that Sarah could select from 42 different pizzas.

Learn more about the combinations here,

https://brainly.com/question/20211959

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