At Pizza Kitchen, there are eight different toppings where a customer can order any number of these toppings. If you dine at the said pizza parlor, with how many possible sets of toppings can you actually order your pizza?
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At Pizza Kitchen, there are eight different toppings where a customer can order any number of these toppings. If you dine at the said pizza parlor, with how many possible sets of toppings can you actually order your pizza?
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Answer:
255 sets of toppings
Solution:
There are 8 choices of toppings for a piz za.
You can choose 1 topping, 2 toppings, 3 toppings, 4 toppings, 5 toppings, 6 toppings, 7 toppings, or 8 toppings.
It is an example of a combination since arrangement doesn't matter.
Using the formula of Combination:
Choosing 1 topping (r = 1):
Choosing 2 toppings (r = 2):
Choosing 3 toppings (r = 3):
Choosing 4 toppings (r = 4):
Choosing 5 toppings (r = 5):
Choosing 6 toppings (r = 6):
Choosing 7 toppings (r = 7):
Choosing 8 toppings (r = 8):
Then, add all of the answers of each toppings.
8 + 28 + 56 + 70 + 56 + 28 + 8 + 1 = 255