# How many ways can you choose four toppings for a pizza if there are eight toppings to choose from?

Jul 6, 2016

$8 \cdot 7 \cdot 6 \cdot 5 = 1680$

#### Explanation:

$8 \cdot 7 \cdot 6 \cdot 5 = 1680$

Since there are four toppings on the pizza and eight possible toppings to choose from we can determine the varieties available by multiplying the available options.

There are 8 possible toppings for the 1st choice.
Since we have chosen one topping already
There are 7 possible toppings for the 2nd choice
There are 6 possible toppings for the 3rd choice
and
There are 5 possible toppings for the 4th choice

$8 \cdot 7 \cdot 6 \cdot 5 = 1680$