Did you hear Rush Limbaugh got caught with an ewe and a tube of K-Y jelly in his car. He was bleating something about how ewe were the love of his life and the officer made him walk the line when they could smell Lanolin on Rush’s breath.
Given the requirements of a subset of 3 within the set of 6, there are a maximum of 20 rumors the rumor-omatic can make. If we assume that three is merely the minimum, then there are 20, 3 item rumors, 15-4, 6-5 and one six item rumor possible for a total of 42 rumors possible.