I have a table with a list of names. I would like the computer to put these names in a complete random order. I am running a random draw doubles tournament and need for the computer to put the names in a random order if that helps.

With your names in A2:A20 try the following

In B2: =RAND()
In C2: =INDEX($A$2:$A$20,RANK(B2,$B$2:$B$20))

Copy B2:C2 down to C20.

Press F9 to generate a new random order.