In one aspect, the present disclosure is directed to a dispenser assembly for dispensing supplies of sheet material. The dispensing assembly can include a carrier supporting the supplies of sheet material and being moveable along a track between various dispensing positions. The dispenser assembly also can include a carrier pivoting assembly with a lever that engages one of the supplies of sheet material and rotates during dispensing thereof, as well as one or more biased pins connected to the lever and configured to engage locking features provided along the track to support the carrier in one of the dispensing positions. The biased pins further can be configured to retract with rotation of the lever such that they disengage the locking features so the carrier to moves along the track to different dispensing position. Other aspects also are described.