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.
<h3>What is logical reasoning ?</h3>
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: brainly.com/question/25175983