SOLUTION: How many different 4-topping pizzas can be made if there are 13 individual toppings to choose from? Assume that no topping is used more than once and that the order of the topping

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Question 1083516: How many different 4-topping pizzas can be made if there are 13 individual toppings to choose from? Assume that no topping is used more than once and that the order of the
toppings on the pizza is unimportant.

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
If each pizza requires 4 toppings, then the number of different pizzas you could make is 13 choose 4, or 715 different combinations. If the pizzas can have less than 4 toppings each, then you can make [13x12x11x10]+1, or 17,161 different pizzas (the last one would be a no-topping, plain cheese pizza). ☺☺☺☺