A gaming device that includes a plurality of elements or symbols which are each in one or more of a plurality of element groups or sets. The gaming device also includes a plurality of player selectable selections. Each player selectable selection is associated with one of the plurality of element groups or sets. In one embodiment, the player is enabled to pick one of the selections and each element in the element group or set associated with the picked selection is flagged or marked. If a designated element or combination of elements are not flagged, the player is enabled to pick at another one of the selections, one at a time, until a designated element or combination of elements are flagged or marked. Once a designated element or combination of elements are flagged or marked, the player is provided an award based, at least in part, on the specific element or combination of elements which are flagged or marked.