I've been asked to come up with two examples of situations using mutual exclusivity.

The rules:
- A and B must be mutually exclusive
- B and C must be mutually exclusive
- A and C are not mutually exclusive

Because I'm a car geek, the easy one for me to come up with has to do with lighting -- low beams, high beams, and fog lights.
You cannot have low beams and high beams on at the same time
You cannot have high beams and fogs on at the same time
You CAN have low beams and fogs at the same time.

(Yes, this assumes you haven't tinkered with the wiring to "overcome" the way things are wired from the factory to conform with FMVSS (Federal Motor Vehicle Safety Standards.)

Now I need a second example.

Whatcha got, SF math geeks?

Inside , outside , upstairs

By golly, I think that works!

I can't be inside and outside at the same time.
I can't be outside and upstairs at the same time.
I could be inside and upstairs at the same time.

Works!

Haha! I mentioned "I'll post this on SF and betcha we'll have an answer within an hour."

Thank you!

My favorite:

GOOD/High Quality
FAST/Quick
CHEAP/Minimal Cost

I thought of that one, but it doesn't exactly fit the requirement. In that example, you can have any two, but the problem requirement is somewhat different.

(Darnit. Because I wanted to use that one.)

quote:

Originally posted by vthoky:
By golly, I think that works!

I can't be inside and outside at the same time.
I can't be outside and upstairs at the same time.
I could be inside and upstairs at the same time.

Works!

Haha! I mentioned "I'll post this on SF and betcha we'll have an answer within an hour."

Thank you!

Unless you have a second story deck. Then you can be outside and upstairs.

Trump supporter : antifa
Antifa : MAGA believer
Trump supporter : MAGA believer.

I think that works, konata, but I can also argue that it doesn't. It's like a number of other examples we came up with: two of the three are very much alike to begin with, so it almost guarantees not being mutually exclusive.

I'm thinking the intent of the assignment is to make the set from independent events. One we ruled out had to do with sports, where the events were football, basketball, and touchdown -- A touchdown is generally part of football, not an independent item.

I'm thinking on geometry now -- square, rectangle, trapezoid. Remember learning in grade school the "a rectangle is a square, but a square is not a rectangle" thing? Using definitions found on mathisfun.com, I'm not sure I can make that one fit the requirement either, though.

Ehh, the assignment was due at midnight, so it's all for fun now.

You can make it extremely simple.

Dog
Bird
Mammal

Mom
Dad
Grandma

Almost perfect is the :
Odd Number
Even Number
Prime Number

2 screws that up royally.

Could make it a bit more complex and requiring some thought.

American Citizen
Korean Citizen
Australian Citizen

quote:

Originally posted by OttoSig:
Mom
Dad
Grandma

I wish I'd thought of that one. That WAS easy.

landing
takeoff
no fuel