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Chapter 6

Problem 69

Ben and Ann are among seven contestants from which four semifinalists are to be selected. Of the different possible selections, how many contain neither Ben nor Ann? (A) 5 (B) 6 (C) 7 (D) 14 (E) 21

Problem 78

Is the set of outcomes when two indistinguishable dice are rolled (Example 1) a Cartesian product of two sets? If so, which two sets; if not, why not?

Problem 85

A textbook has the following exercise. "Three students from a class of 50 are selected to take part in a play. How many casts are possible?" Comment on this exercise.

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