There are several information's of immense importance already given in the question. Let us write them down first and then focus on the problem in hand.
Total number of employees = 20
Number of employees that has to be selected randomly = 6
Then
Number of different groups of
six can be selected = (20 * 19 *18 *17 *16 *15)/(6 * 5 * 4 * 3 * 2 * 1)
= 38760 groups
I hope that this is the answer that you were looking for and the answer has come to your desired help.