If you are trying to parent the armature to the object - You selected the armature first, then the object and pressed CTRL-P, this will give you only the option to parent to object, and will parent the armature to the last selected object.
If you are trying to parent the object to the armature - You selected the armature last, this will give you a list of options here, if you simply want to parent the object to the armature and not use any of the deformations, then choose object, which will cause the object to follow the loc/rot/scale of the armature in object mode, not pose mode. The other parenting options will allows deformation, the bone option will allow the object to copy the loc/rot/scale of the selected bone.
hope this helps