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zloy xaker [14]
3 years ago
10

At a pizza Parlour, you can order single, double, triple cheese in the crust. You also have the option to include ham, olives, p

epperoni, bell pepper, meat ball, tomato slices and pineapple. how many different types of pizza are available at the pizza Parlour?
Mathematics
1 answer:
ki77a [65]3 years ago
3 0

Answer:

381 different types of pizza (assuming you can choose from 1 to 7 ingredients)

Step-by-step explanation:

We are going to assume that you can order your pizza with 1 to 7 ingredients.

  • If you want to choose 1 ingredient out of 7 you have 7 ways to do so.
  • If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so
  • If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so
  • If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so
  • If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so
  • If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so
  • If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so

So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127  ways of selecting ingredients.

But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.

Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.

Therefore, there are 381 different types of pizza.

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