3. Twenty individuals, consisting of 10 married couples, are to be seated at five different tables, with
Question:
3. Twenty individuals, consisting of 10 married couples, are to be seated at five different tables, with four people at each table.
(a) If the seating is done "at random," what is the expected number of married couples that are seated at the same table?
(b) If two men and two women are randomly chosen to be seated at each table, what is the expected number of married couples that are seated at the same table?
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