A gaming system comprises an acceptor for receiving a wager, a payout mechanism, a credit meter, at least one input device for receiving player input, a display and a processor. Two or more independently rotatable wheels are concentrically arranged with increasing diameters. Each wheel includes a set of unique symbols on its outer circumference. A first of the two or more wheels comprises a first number of positions on its outer circumference for selecting a first subset of the set of unique symbols when the first wheel has stopped. A second of the two or more wheels comprises a second number of positions on its outer circumference for selecting a second subset of the set of unique symbols when the second wheel has stopped. The symbols of the second subset of unique symbols also contained in the first subset of unique symbols are qualified for an award.