SOLUTION: How many ways can 8-toppings be selected to make three-topping pizzas?

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Question 222376: How many ways can 8-toppings be selected to make three-topping pizzas?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since order doesn't matter, we're going to use the combination formula



Plug in n=8 and r=3

Subtract 8-3 to get 5

Calculate 8! to get 40,320 (note: if you need help with factorials, check out this solver)

Calculate 5! to get 120

Calculate 3! to get 6


Multiply the values 120 and 6 to get 720

Divide 40,320 by 720 to get 56


So 8 choose 3 (where order does not matter) yields 56 unique combinations. So there are 56 different ways to make three-topping pizzas.