Final answer:
Multiply the 7 appetizers by the 15 main courses to get 105 different meal possibilities, which is answer (b) 105.
Step-by-step explanation:
To find out how many different meal possibilities there are with 7 appetizers and 15 main courses, we need to multiply the number of appetizers by the number of main courses. This is because each appetizer can be paired with each main course, creating a combination for each pairing.
7 appetizers × 15 main courses = 105 different meal possibilities.
Therefore, the correct answer is (b) 105.