Question: Problem 4 ( 15 Points) [Let S be a set, and F a nonempty family of subsets of S. Recall that (S,F) is called a

Problem 4 ( 15 Points) [Let S be a set, and

Problem 4 ( 15 Points) [Let S be a set, and F a nonempty family of subsets of S. Recall that (S,F) is called a matroid if and only if the following two properties are satisfied: (i) If BF and AB, then AF. (ii) If A,BF and A

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