An enclosed carton containing a plurality of cylindrical containers disposed therein in at least three rows, with a bottom row and a second row, with each container having a diameter and two ends, the carton having ends, at least one of which is an exiting end capable of permitting the containers to exit the carton one at a time when a container is pulled from the carton, the carton comprising: a. a bottom panel (12, 26), top panel and foldably attached adjoining side panels (14, 22); b. a said exiting end having a bottom and a top tear line which are at least approximately parallel to each other, for forming a container dispenser, said bottom tear line having a bottom tear line height from said bottom panel (12, 26) that is less than the diameter, but sufficient to prevent the containers in the bottom row from automatically rolling out when said dispenser is open when the carton is on a horizontal plane, said top tear line having a top tear line height from said bottom panel (12, 26) that is equal to the diameter plus a distance that is substantially less than the diameter, but at a sufficient height from said bottom panel (12, 26) to prevent the containers in the second row from automatically rolling out when said dispenser is open when the carton is on a horizontal plane; c. said top and bottom tear lines extending into at least one of said side panels (14, 22) a sufficient distance and turning towards each other a sufficient distance to permit said top and bottom tear lines to be torn open; and d. means for closing any of the plurality of carton ends that are not an exiting end; characterized in that, e. the top tear line is located from the bottom panel (12, 26) at a height that is the diameter of a container in the bottom row plus a distance between approximately 60% and 90% of the diameter of a container contained in the second row of the containers so that, when the dispenser is open, at least one end of the two ends of a second row end container in the second row adjacent said exiting end can be grasped and removed from the carton prior to removal of a bottom row end container adjacent the exiting end. a. a bottom panel (12, 26), top panel and foldably attached adjoining side panels (14, 22); b. a said exiting end having a bottom and a top tear line which are at least approximately parallel to each other, for forming a container dispenser, said bottom tear line having a bottom tear line height from said bottom panel (12, 26) that is less than the diameter, but sufficient to prevent the containers in the bottom row from automatically rolling out when said dispenser is open when the carton is on a horizontal plane, said top tear line having a top tear line height from said bottom panel (12, 26) that is equal to the diameter plus a distance that is substantially less than the diameter, but at a sufficient height from said bottom panel (12, 26) to prevent the containers in the second row from automatically rolling out when said dispenser is open when the carton is on a horizontal plane; c. said top and bottom tear lines extending into at least one of said side panels (14, 22) a sufficient distance and turning towards each other a sufficient distance to permit said top and bottom tear lines to be torn open; and d. means for closing any of the plurality of carton ends that are not an exiting end; characterized in that, e. the top tear line is located from the bottom panel (12, 26) at a height that is the diameter of a container in the bottom row plus a distance between approximately 60% and 90% of the diameter of a container contained in the second row of the containers so that, when the dispenser is open, at least one end of the two ends of a second row end container in the second row adjacent said exiting end can be grasped and removed from the carton prior to removal of a bottom row end container adjacent the exiting end.