give an example problem where you would use the counting principle. solve your example problem showing all your steps. (
Example problem:
How many different combinations of three toppings can you choose on your pizza if there are 8 different toppings to choose from?
Solution:
To solve this problem using the counting principle, we need to multiply the number of choices for each topping.
Since there are 8 different toppings to choose from, we have:
1st topping: 8 choices
2nd topping: 7 choices (as one topping has already been chosen)
3rd topping: 6 choices (as two toppings have already been chosen)
Therefore, the total number of different combinations of three toppings can be calculated as:
8 * 7 * 6 = 336
So, there are 336 different combinations of three toppings that can be chosen for the pizza.