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Not to rain on the parade, and not to take away from what is really a brilliant idea, but:
What you will end up with is a league most likely full of power hitters who strike out alot. Also, you will definitely end up with the poorest fielding ever seen in any league anywhere. Why? Because I have to believe that the majority of players will pick Power hitting as a strength and Fielding as a weakness.
I think with the remaining ratings that the player cannot select, the commish should draw a rating at random. For example, the player decides not to rate baserunning. The commish should select a rating at random for baserunning. So the player's baserunning skills could be like Tony Clark or like Derek Jeter. This way the league would have more differentiation and randomness.
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