The c+pK-+ yield has been measured in a sample of two-jet continuum events containing both a charm tag ("D") as well as an antiproton (e+e-DpX), with the antiproton in the hemisphere opposite the D (measurement of charge conjugate modes is implicit throughout). Under the hypothesis that such selection criteria tag e+e-Dpc+X events, the c+pK-+ branching fraction can be determined by measuring the pK-+ yield in the same hemisphere as the antiprotons in our DpX sample. Three types of D charm tags are used, soft- (from D*-D0soft-), electrons (from DXe-v), and fully reconstructed D0K+- or D- K+-- or Ds--. Combining our results obtained from the three independent charm tags, we obtain B(c+pK- +)=(5.00.51.2)%. 2000 The American Physical Society.