(Answered) Six couples who all happen to be heterosexual sit down to

Statistics

Six couples, who all happen to be heterosexual, sit down to dinner at a round table. (That is, each couple consists of one woman and one man.)

(a) How many seating arrangements are possible if men and women must alternate around the table?

(b) In how many seating arrangements is each person sitting next to his/her partner (i) if men and women must alternate? (ii) if there is no such restriction?

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