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Dogs Playing PokerBarry and Kerrie are discussing their pets during a poker game. Barry tells Kerrie that he has at least one dog at home. When Kerrie asks what breed, he answers cryptically: "If I have a Labrador but not a Staffie, I also have a Collie. I either have both a Collie and a Staffie or neither. If I have a Collie, then I also have a Labrador. " What breed or breeds does Barry have at home?

Sagot :

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By using simple logic, we can conclude that Barry does have all the dogs.

How many dogs Barry has?

There are 3 statements that we assume are true.

" If I have a Labrador but not a Staffie, I also have a Collie."

" I either have both a Collie and a Staffie or neither."

" If I have a Collie, then I also have a Labrador. "

Now, if he does in fact have a Collie, then for statement 2 he also must have a Staffie. And for the third statement, he also has a Labrador.

That is a possible combination. (all the dogs)

Now, if he does not have a Collie, for the second statement we know that does also not have a  Staffie. Then he can't have a Labrador (for the first statement, because if he had a labrador, he must also have a collie, and that is absurd because we started by assuming that he does not have a collie).

Then we can conclude that he must have the 3 dogs.

If you want to learn more about logical statements, you can read:

https://brainly.com/question/26421978

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