Enigma 99: Harem scarem
16 June 2013
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From New Scientist #1243, 5th March 1981 [link]
The six wives of Sheikh Inbed the Terrible are in something of a tizz. They have just heard that they are to be reshuffled in their present ranking. At least two will rise, at least two fall; and no-one will have her same place after the sheikh-up.
Each has issued a prediction. “Bathsheba and I will both be demoted,” predicts Armenia. “Euterpe will be placed above both Delilah and Fatima,” Bathsheba opines. Casbah, the present No. 3 wife, expects that Delilah will outrank Fatima. Delilah predicts a rise of exactly one place for herself. Euterpe’s guess is that she herself will go down and that Casbah will outrank Armenia. “I shall fall and Casbah will rise,” predicts Fatima.
Sheikh Inbed would have you know that those about to rise are right and those about to fall wrong.
Can you list the ladies in order of rank (No. 1 first) both before and after?