Baryon Octet/Decuplet Questions

adamd

1. The problem statement, all variables and given/known data

Construct the Baryon Octet. (J^p)=1/2 +

Specifically I am puzzled as to why there are only 2 uds combinations.

2. Relevant equations

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3. The attempt at a solution

Ok so I know to make an overall spin state of 1/2 I have a antisymetric spin state and so in the octet there cant be uuu, ddd or sss because anti symmetrical color * anti symm spin would be symmetrical overall which is not allowed.
But my question is why is there only 2 variations of the uds combination.
Why cant each of the u/d/s have oposite spin to the other 2. That would make 3 possibilities.