Question

A pizza shop is running a special on 4 topping pizzas there are 15 toppings total to choose from each topping can be chosen at most once how many different 4 topping pizzas could be chosen

Answer 1

Answer:

1365 different pizzas

Explanation:

The number of ways to select 4 toppings from the 15 toppings in total can be calculated using combinations.

So, we will use the following equation

$nCx=\frac{n!}{x!(n-x)!}$

Where n = 15 and x = 4. So, we get

$\begin{gathered} 15C4=\frac{15!}{4!(15-4)!} \\ \\ 15C4=\frac{15!}{4!(11!)} \\ \\ 15C4=\frac{15\cdot14\cdot13\cdot12\cdot11!}{4\cdot3\cdot2\cdot1\cdot11!} \\ \\ 15C4=1365 \end{gathered}$

Therefore, there are 1365 different 4 topping pizzas.