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A new pizza joint just opened up that is advertising over 100,000different pizza choices. They offer2types of crust,5 different meats, 4 types of cheese, 7

A new pizza joint just opened up that is advertising over 100,000different pizza choices. They offer2types of crust,5 different meats, 4 types of cheese, 7 different veggies and 2 types of sauce. Based on these values, exactly how many pizza types is that? Are they falsely advertising their choices or just wicked-good at math? Keep in mind the following facts:

  • You must choose a crust (otherwise your toppings have no bottom) and you can only choose one crust (don't be greedy)
  • You can have as many or as few meatsas you want (including no meat)
  • You can have as many or as few cheeses as you want (including no cheese)
  • You can have as many or as few veggies as you want (including no veggies)
  • You must choose one (and only one) sauce

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