In a medical experiment involving 50 patients, 20 patients are chosen to receive drug X, 20 patients are chosen to receive drug Y, and 10 patients are chosen to receive no drug. In how many different ways can the treatments for the 50 patients be assigned?
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50C20 * 30C20 * 10C10 = 1.416 * 10^21
or
50C10 * 40C20 * 20C20 = 1.416 * 10^21
or
50C10 * 40C20 * 20C20 = 1.416 * 10^21