Final answer:
A camper at Camp Sunshine can choose from 9600 different combinations of activities by selecting one from athletics, outdoor, arts & crafts, and water sports categories.
Step-by-step explanation:
The student asked how many ways a camper can choose one of each type of activity available at Camp Sunshine. With 10 athletic activities, 8 outdoor activities, 10 arts & crafts activities, and 12 water sports activities to choose from, the number of ways to choose one of each can be found by multiplying the number of options in each category together. This is a fundamental counting principle in combinatorics, a branch of mathematics.
To calculate the total number of different combinations of activities one camper can do, we multiply the number of choices in each category:
- Athletics activities: 10 options
- Outdoor activities: 8 options
- Arts & Crafts activities: 10 options
- Water Sports activities: 12 options
The total number of combinations is 10 (Athletics) × 8 (Outdoor) × 10 (Arts & Crafts) × 12 (Water Sports) = 9600 different ways to choose one of each type of activity.