How many different 3 topping pizzas can you make using cheese pepperoni sausage mushrooms anchovies green peppers or olives without doubling any toppings?

To calculate the number of different 3-topping pizzas, we use the combination formula:

C(n, r) = n! / (n - r)! / r!

where:

n = total number of toppings (7)

r = number of toppings to be chosen for each pizza (3)

C(7, 3) = 7! / (4! * 3!) = 35

Therefore, there are 35 different 3-topping pizzas that can be made without doubling any toppings.