Solve the problem.
-A pizza restaurant advertises 286 different 3-topping pizzas. How many individual toppings does the restaurant use? Assume that no topping is used more than once on a pizza and that the order of
The toppings on the pizza is unimportant.

Question

Quizplus · Accepted Answer

The number of different 3-topping pizzas that can be made from n toppings is given by the combination formula $C(n, 3) = \frac{n!}{3!(n-3)!}$. We need to find the value of n that satisfies $C(n, 3) = 286$. Solving the equation $\frac{n!}{3!(n-3)!} = 286$ leads to $n = 13$, as 13 is the number of toppings that allows for 286 unique combinations of 3 toppings each.

Solve the Problem. -A Pizza Restaurant Advertises 286 Different 3-Topping Pizzas. How Many