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This Python program runs in 86ms.

Solution:The scores in the away legs of the fixtures where Albion drew 0-0 at home were 4-7 and 2-3.The scores in the home and away legs of each fixture as well as the aggregate score for Albion are given in the diagram below:

In fact there are only 18 possible scores for the away legs, so we need to choose a corresponding home leg score for each possible away leg score, and there is only one way to do this such that six of the home leg scores are used once and six of them are used twice. In the diagram the 18 fixtures are grouped by home leg score so it is easy to see how many times each home leg score is used.