I totally agree with your math but slightly disagree with its practical application.
To get 3 aces of diamonds, the probability=6x5x4/(312x311x310)=4x10^(-6);
To get 2 queens of hearts, the probability = 6x5/(312x311)=3.1x10^(-4).
The difference is huge, 2 orders of magnitude. I haven’t attempted to differentiate queens of hearts and queens of others, so no way would I differentiate suits of aces.
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