Bernie's Breakfast Buffet has a wide selection of breakfast food available. They have 4 types of cereal, 5 types of fruit, and 6 styles of cooked eggs. How many different ways can someone choose a breakfast consisting of one type of cereal, one piece of fruit, and one style of cooked eggs?
I am not that good at probabilities.
C(4,1) C(5, 1) C(6, 1)
= (4!/1!3!) (5!/1!4!) (6!/1!5!)
= ...
wow. Since only one of each can be chosen, we have
4*5*6 ways to select the 3 items.
Graham's solution is generalizable for situations where several of each item may be chosen, but seems like overkill in this case.
To find the total number of different ways to choose a breakfast consisting of one type of cereal, one piece of fruit, and one style of cooked eggs, you need to multiply the number of options for each category.
In this case, there are 4 types of cereal, 5 types of fruit, and 6 styles of cooked eggs. To choose one of each category, you multiply these numbers together:
4 (cereal options) * 5 (fruit options) * 6 (cooked eggs options) = 120
Therefore, there are 120 different ways someone can choose a breakfast consisting of one type of cereal, one piece of fruit, and one style of cooked eggs at Bernie's Breakfast Buffet.