Consider a situation with three modes of decrement: mortality, disability, and withdrawal. Assume mortality and disability are uniformly distributed in each year of age in the associated single decrement tables with absolute rates of qx(1) and qx(2), respectively. Assume that, in the associated single decrement table, withdrawals occur only at the age's midyear or year-end and equal proportions of those beginning the year withdraw at the midyear and at the year-end; the absolute rate of annual withdrawal is qx(3). Derive formulas for the probability of decrement, in the multiple decrement table, for (x),x0 for each one of the three modes of decrement