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(Solved): Question 5 (20 Marks) A Wedding Organizer Needs To Sit 4 Couples And 4 Single Persons Around A Round...


Question 5 (20 marks) A wedding organizer needs to sit 4 couples and 4 single persons around a round table. In how many ways

Question 5 (20 marks) A wedding organizer needs to sit 4 couples and 4 single persons around a round table. In how many ways can she sit those 12 people so that: (a) All couples sit together (the two members of each couple sit side-by-side)? (b) No couple sit together? Hint: Inclusion-Exclusion... Note: Since the table is round, different rotations of the same arrangement are indistin- guishable, but a clockwise arrangement is distinguishable from its counterclockwise version, А D D B = 0 JA + A


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