math

using the fundamental counting principle with three or more groups of items

A pizza can be ordered with three choices of size (small, medium, or large), four choices of crust (thin,thick,crispy, or regular, and six choices of toppings (ground beef, sausage, pepperoni, bacon, mushroom, or onions). How many one-topping pizzas can be ordered?

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  1. There are three choices of size, four choices of crust and six choices of toppings.

    These choices are independent of each other, so by the principle of multiplication, the number of one-topping pizzas is:
    N=3*4*6 = 72

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  2. A pizza can be ordered with three choices of size (small, medium, or large), four choices of crust (thin, thick, crispy, or regular), and six choices of toppings (ground beef, sausage, pepperoni, bacon, mushrooms, or onions). How many different one-topping pizzas can be ordered?

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