Randomize Array and Present Multiple Items From Array Simultaneously

You say you already know how to randomize the Array, so I won't go into that. Let's assume that you already have 3 TextFields on screen and they're called tf1, tf2, tf3. You haven't said if you're using Classes or timeline code. I'm not a big fan of timeline code in AS3, so I'm not good at writing examples in it. The example here assumes Class code. It also assumes

1. You have "declare stage instances automatically" off
2. tf1, tf2, and tf3 exist in all frames of the timeline of the MC that is using this Class.

public class Words extends MovieClip {
    protected var wordSource:Array;
    public var tf1:TextField;
    public var tf2:TextField;
    public var tf3:TextFiels;

    //constructor
    public function Words() {
          super();
          //init your wordSource array here


          //a Vector is like an Array, but you're very sure what type of "thing" is at each index.
          //in this case, it's TextFields.
          var tfs:Vetor.<TextField> = Vector.<TextField>([tf1, tf2, tf3]);
          //loop through each word and each text field and match them up
          var loops = wordSource.length;
          for (var i=0; i<loops; i++) {
              var currentTf:TextField = tfs;

              var currentWord = wordSource;

              currentTf.text = currentWord;
          }
    }

}