2. (2 points) Let S be the set of all students at a university, and let C B, B1,

Question

2. (2 points) Let S be the set of all students at a university, and let C B, B1, B2, B3, B4, B5), where each set in the collection is described below. Does C give a partition of S? Justify your answer. B is the set of students with no credit cards. Bi is the set of students with exactly one credit card B2 is the set of students with exactly two credit cards. B3 is the set of students with exactly three credit cards B4 is the set of students with exactly four credit cards B5 is the set of students with five or more credit cards

Explanation / Answer

Solution.

Yes, e gives a partition of S.

Here, S can given as

S={{B0},{B1},{B2},{B3},{B4},{B5}}

The given conditions covers each and every student of the university.

Hence, e is a set which gives partition of S.

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