Arsenal will finish third: if they win; if they draw and Tottenham fail to win; if they lose (by any margin), Tottenham lose and Newcastle fail to win; or if they lose by a single goal, Tottenham draw or lose, and Newcastle fail to win.
Arsenal will finish fourth: if they draw and Tottenham win; if they lose (by any margin), Tottenham win and Newcastle fail to win; if they lose (by any margin), Tottenham lose and Newcastle win; if they lose by a single goal, Tottenham draw and Newcastle win; or if they lose by two or more goals, Tottenham draw and Newcastle fail to win.
The doomsday scenario of Arsenal finishing fifth can only occur if they lose (by any margin) and Tottenham and Newcastle both win; or if they lose by two or more goals, Tottenham draw and Newcastle win.
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