Solve the problem.
-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.

Question

Quizplus · Accepted Answer

The number of different 4-topping pizzas that can be made from 13 individual toppings, assuming no topping is used more than once and the order of toppings is unimportant, is calculated using the combination formula $C(n, k) = \frac{n!}{k!(n-k)!}$, where $n$ is the total number of items to choose from (13 toppings), $k$ is the number of items to choose (4 toppings), and $n!$ denotes the factorial of $n$. Thus, $C(13, 4) = \frac{13!}{4!(13-4)!} = \frac{13!}{4!9!} = \frac{13 \times 12 \times 11 \times 10}{4 \times 3 \times 2 \times 1} = 715$.

Solve the Problem. -How Many Different 4-Topping Pizzas Can Be Made If There