Enigma 319: Mix and match
13 November 2015
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From New Scientist #1467, 1st August 1985 [link]
On the next five Saturdays, Albion, Borough, City, Rangers and United will be competing against each other in a league. There will be two matches each Saturday, each of the five teams having one Saturday without a match. At the end, each team will have played each of the others once, and will have played two home matches and two away matches alternating.
Next Saturday, the competition starts with Albion at home to Borough, and City at home to Rangers. A fortnight later, Borough will be playing at home.
What will be the two matches on the final Saturday (the home team to be named first in each match)?