Max. He and his four friends are having ice cream. There are only three flavors available at the ice cream store they are visiting: chocolate, vanilla, and strawberry. One of Max’s friends, Stacey, eats chocolate exclusively How many different kinds of ice cream cone combinations can they make? They may have only single, double, and triple scope ice cream cone combinations.
To find the number of different ice cream cone combinations, we can consider the choices for each friend separately.
First, let's look at Max's choices. Max can have a single, double, or triple scoop ice cream cone. So, there are 3 choices for Max.
Next, let's consider Max's four friends other than Stacey. Each friend also has 3 choices: chocolate, vanilla, or strawberry.
Since each friend's choice is independent of the others, we need to multiply the number of choices for each friend together to find the total number of combinations.
The total number of different combinations is given by:
3 (choices for Max) * 3^4 (choices for the other four friends) = 3 * 81 = 243
Therefore, they can make 243 different kinds of ice cream cone combinations.