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We report the observations of the decays B^+ -> psi(2S) K^+ and B^0 ->psi(2S) K^*(892)^0 in ppbar collisions at a center-of-mass energy of 1.8 TeVusing a 110 pb^{-1} data sample recorded by the Collider Detector at Fermilab.We also reconstruct the decays B^+ -> J/psi K^+ and B^0 -> J/psi K^*(892)^0 andmeasure the six ratios of branching fractions of these four decays. Therelative branching-fraction results are shown to be consistent withphenomenological factorization calculations of hadronic B-meson decays. We usethe world-average branching fraction Br(B^+ -> J/psi K^+) to derive Br(B^+ ->psi(2S) K^+) = (0.56 +/- 0.08 +/- 0.10) x 10^{-3}, Br(B^0 -> psi(2S)K^*(892)^0) = (0.92 +/- 0.20 +/- 0.16) x 10^{-3}, and Br(B^0 -> J/psiK^*(892)^0) = (1.78 +/- 0.14 +/- 0.29) x 10^{-3}, where the first and seconduncertainties are statistical and systematic, respectively.Comment: REVTeX, 32 pages, 16 PostScript figures, minor typographical changes  for publicatio

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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Observation ofB+→ψ(2S)K+and