1. A graphical password arrangement comprising: a display; first means, responsive to an initial request of a user, for displaying on the display one or more position indicators along with an image; second means, for moving the displayed position indicators on the display, relative to the displayed image, under control of the user; third means, cooperative with the second means, for determining the user's positioning of the displayed position indicators in the displayed image; a memory; fourth means, responsive to the determined positioning of the position indicators in the displayed image, for storing positions of the position indicators in the displayed image in the memory as a password; fifth means, responsive to a subsequent request of the user, for displaying on the display the image without the one or more position indicators; sixth means, responsive to the user's selection of one or more locations in the displayed image without the one or more position indicators, for determining positions of the selected locations in the displayed image; seventh means, for determining whether the positions of the selected locations correspond to the positions that are stored in the memory as the password; and eighth means, responsive to a determination of a lack of correspondence between the positions of the selected locations and the positions that are stored in the memory as the password, for denying the user access to a resource protected by the password.