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We present a search for Wbb̅ production in pp̅ collisions at √s = 1.96 TeV in events containing one electron, an imbalance in transverse momentum, and two b-tagged jets. Using 174 pb-1 of integrated luminosity accumulated by the D0 experiment at the Fermilab Tevatron collider, and the standard-model description of such events, we set a 95% C.L. upper limit on Wbb̅ production of 6.6 pb for b quarks with transverse momenta pTb > 20 GeV and bb̅ separation in pseudorapidity-azimuth space ΔRbb > 0.75. Restricting the search to optimized bb̅ mass intervals provides upper limits on WH production of 9.0– 12.2 pb for Higgs-boson masses of 105–135 GeV.