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The New Oxford American Dictionary reports that the origin of the word soccer is a shortening of association football. I have been used to say American football to mean the sport played in America, and soccer to mean the sport where only a player can touch the ball with his hands.
There are many theories about the origin of OK. The more recent I have heard is that it originated as 0K (zero K); the dictionary I use most of the time says that its origin is fro "orl korrect", humorous form of all correct, popularized as a slogan during President Van Buren's reelection campaign of 1840.