Note: 'Army' should be replaced with 'military'
Note: The Federalized European Military counts every country west of Russia (not including Russia). No further south than Turkey (Including Turkey, but not the Caucasus region), and nothing south of the Mediterranean.
Pretend that Europe has federalized and combined their armies into one. Say one day aliens come and say that unless they want Earth destroyed, the two armies must wage war against each other. They can't use nuclear weapons or directly attack civilians. They both are flagged ready to fight each other at the very same time.
Who wins? How do you imagine it playing out?
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If America were to invade they would epic fail. Especially against Finland.