MathDB

4

Part of 2002 Dutch Mathematical Olympiad

Problems(1)

5 pairs of cartoon characters around a round table of 10 chairs

Source: Dutch NMO 2002 p4

9/21/2019
Five pairs of cartoon characters, Donald and Katrien Duck, Asterix and Obelix, Suske and Wiske, Tom and Jerry, Heer Bommel and Tom Poes, sit around a round table with 1010 chairs. The two members of each pair ensure that they sit next to each other. In how many different ways can the ten seats be occupied? Two ways are different if they cannot be transferred to each other by a rotation.
combinatorics