We study the processes ppˉ→WZ→ℓνℓ+ℓ− and ppˉ→ZZ→ℓ+ℓ−ννˉ,where\ell=eorμ.Using8.6fb^{-1} of integrated luminosity collected by the D0 experiment at the Fermilab Tevatron collider, we measure the WZ production cross section to be 4.50−0.66+0.63pbwhichisconsistentwith,butslightlyaboveapredictionofthestandardmodel.TheZZcrosssectionismeasuredtobe1.64\pm0.46pb,inagreementwithapredictionofthestandardmodel.CombinationwithanearlieranalysisoftheZZ \rightarrow \ell^+\ell^-\ell^+\ell^-channelyieldsaZZcrosssectionof1.44^{+0.35}_{-0.34}$ pb.