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7. Let A, B, and C be three events. Write out expressions for the following events in terms of A, B, and C, using set notation. (a) A occurs but neither B nor C occurs. 0-inni-mn u (b) A and B occur, but not C (c) A or B occurs, but not C. (d) None of A, B, and C occurs. (e) A, B, or C occurs.
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Answer #1

a)

A occurs but neither B nor C occurs =A n(B u C)c

b) A and B occur but not C =(A n B) n Cc

c) A or B occurs but not C =(A U B)n Cc

d)None of A , B and C occurs =(A U B U C)c

e)

A.B or C occurs =A u B u C

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