I figured it out. Thanks for the response. I used a nested for loop, and a random generator, to randomly grab elements from List1, sequentially assign them to List2, and then print List2 using VisualForce.

    public sortController()
    {
        sortparts=[SELECT ABC_Code__c, Name FROM sm1e_smPart__c WHERE ABC_Code__c = 'C'];  
        count = (integer)aggResult[0].get('expr0'); //Convert number of Cs to integer
        randomized = new List<sm1e_smPart__c>(count);
        for(Integer i = 0; i < count; i++)
        {
            for(Integer j = 0; j < count; j++)
            {
                Integer rand = Math.round(Math.random()*1000);
                while(rand > count-1){rand = Math.round(Math.random()*1000);}
                randomized[j] = sortparts[rand];
            }
        }
    }