Fact 1:All dogs like to run.Fact 2:Some dogs like to swim.Fact 3:Some dogs look like their masters.If the first three statements are facts, which of the following statements must also be a fact? I:All dogs who like to swim look like their masters. II:Dogs who like to swim also like to run.III:Dogs who like to run do not look like their masters.

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Discrete mathematics is the study of mathematical structures that can be considered "discrete" rather than "continuous". Topics studied in discrete mathematics include integers, graphs, and statements in logic. Discrete structures can be finite or infinite. Other useful Discrete math topics (for Computer Science) include number bases, mathematical induction, sets, relations, functions, congruence, recursion, combinations and permutations, probability, graphs, trees, logic, Boolean algebra, and proof techniques. Discrete mathematics has numerous uses in computer science. It is often used in... Show more

Fact 1:All dogs like to run.Fact 2:Some dogs like to swim.Fact 3:Some dogs look like their masters.If the first three statements are facts, which of the following statements must also be a fact? I:All dogs who like to swim look like their masters. II:Dogs who like to swim also like to run.III:Dogs who like to run do not look like their masters.