Question: a resturant offers 6 possible appetizers, 11 possible main courses, and 5 possible desserts. How many different meals are possible at this restuant? two meals are considered different unless all three courses are the same.
is it (22 C 3)?
No
You have 6 possible appetizers, then 11 different main courses , followed by 5 different desserts
that would be
6x11x5 or 330
To calculate the number of different meals possible at the restaurant, you need to consider the number of options for each course (appetizers, main courses, and desserts) and calculate the total number of combinations.
The Rule of Product states that if you have n choices for one task and m choices for another task, then the total number of combinations is obtained by multiplying n by m.
In this case, you have 6 possible options for appetizers, 11 possible options for main courses, and 5 possible options for desserts.
To find the total number of combinations, you multiply these three numbers together:
6 x 11 x 5 = 330
Therefore, there are 330 different meals possible at this restaurant.