Discussion
If a contestant includes lemongrass in the same recipe as paprika, which one of the following is a flavoring that must be included in the contestant’s main-dish recipe?
*This question is included in Grouping: Lesson Set 1 (of 3) - Intro, question #4
| (A) | ginger |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 02/18/2013 20:17
I am completely lost
Posted: 02/27/2013 14:45
Joel, it is a good idea to diagram and list the rules. The rules are: (1) Each flavoring must be used 1x and can only be used 1x in any recipe; (2) Appetizers can only include 3 flavorings at most; (3) F >< N; (4) S >< T; (5) G == N.
Now we are told that lemongrass and paprika are in the same recipe. It can be Appetizer, or Main. Let's try Appetizer. By rules 3 and 4, the Appetizer recipe must include at least 2 of (F, N) and (S,T). If it has to include L and P too, it's not going to work because it will violate rule 2.
Hence, L and P must be in the Main recipe. There you have your answer.
Now we are told that lemongrass and paprika are in the same recipe. It can be Appetizer, or Main. Let's try Appetizer. By rules 3 and 4, the Appetizer recipe must include at least 2 of (F, N) and (S,T). If it has to include L and P too, it's not going to work because it will violate rule 2.
Hence, L and P must be in the Main recipe. There you have your answer.
Posted: 02/27/2013 16:46
Here is how you should diagram a problem like this. Notice that in this case (Appetizer), it is not possible to have L and P as ingredients without violating rule 2 that an appetizer can only include 3 flavorings at most.