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
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]Where n = 15 and x = 4. So, we get
[tex]\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}[/tex]Therefore, there are 1365 different 4 topping pizzas.
