Observations of B<inf>S</inf>⁰→ψ(2S)η and B<inf>(S)</inf>⁰→ψ(2S)π⁺π^- decays

First observations of the B _S ⁰→ψ(2S)η, B ⁰→ψ(2S)π ⁺π ^- and B _S ⁰→ψ(2S)π+π- decays are made using a dataset corresponding to an integrated luminosity of 1.0 fb ^-1 collected by the LHCb experiment in proton-proton collisions at a centre-of-mass energy of √s=7 TeV. The ratios of the branching fractions of each of the ψ(2S) modes with respect to the corresponding J/ψ decays are where the third uncertainty corresponds to the uncertainties of the dilepton branching fractions of the J/ψ and ψ(2S) meson decays.