This is the same question as "why do they are somewhere in a space (instead of being nowhere)"? Full description possible when we use extended Hilbert space: not this ##|x_1\rangle,\,|x_2\rangle,\,\dots|x_n\rangle,\,\dots##, but this ##|x_1, \uparrow\rangle,\,|x_1, \downarrow\rangle,\,|x_2...