Question

How many different ways is there to make a Five Guys burger?

Answer 1

To find the number of different ways to make a Five Guys burger, we need to consider all the possible combinations of toppings and ingredients. In this example, there are 10 different toppings to choose from and you can choose up to 3 toppings for your burger. We can calculate the number of different combinations using a combination formula.

Step-by-step explanation:

To find the number of different ways to make a Five Guys burger, we need to consider all the possible combinations of toppings and ingredients.

Let's say there are 10 different toppings to choose from, and you can choose up to 3 toppings for your burger. Here's how we can calculate the number of different combinations:

1. Choose 0 toppings: 1 way to make this choice.
2. Choose 1 topping: 10 ways to make this choice.
3. Choose 2 toppings: 10 choices for the first topping and 9 choices for the second topping, so 10 * 9 = 90 ways.
4. Choose 3 toppings: 10 choices for the first topping, 9 choices for the second topping, and 8 choices for the third topping, so 10 * 9 * 8 = 720 ways.

Adding up all the possibilities, we have 1 + 10 + 90 + 720 = 821 different ways to make a Five Guys burger with 10 different toppings and the option to choose up to 3 toppings.