Do I have to draft at least 1 player at each position?
No, you build your team the way you want it. If you want to run and gun and press, then take 12 guards. It's all up to you. Of course, in that scenario, you'll probably get killed on the glass.
Also, players may not perform at 100% effectiveness when playing an unfamiliar position so make sure to consider position effectiveness when drafting your team.
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