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Barry 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?

Respuesta :

mickymike92

Based on the statements provided, Barry will a have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.

What is logical reasoning ?

Logical reasoning in mathematics is the process of using rational and critical thinking abilities to arrive at a conclusion about a problem.

Since Barry have at least one dog breed, the possible breeds of dogs that Barry have can be determined as follows:

Statement 1: If I have a Labrador but not a Staffie, I also have a Collie

Statement 2: I either have both a Collie and a Staffie or neither.

Statement 3: If I have a Collie, then I also have a Labrador.

  • From Statement 1, If Barry will have a Labrador and Collie if he doesn't have a Staffie.
  • From Statement 2, Barry will have both a Collie and a Staffie or he wont have either.
  • From Statement 3, Barry must have a Labrador if I he has a Collie.

Therefore, Barry will have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.

Learn more about logical reasoning at: https://brainly.com/question/25175983

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