The large Nc baryon-meson It=Jt rule holds for three flavors

It has long been known that nonstrange baryon-meson scattering in the 1/Nc expansion of QCD greatly simplifies when expressed in terms of t-channel exchanges: The leading-order amplitudes satisfy the selection rule It=Jt. We show that It=Jt, as well as Yt=0, also hold for the leading amplitudes when the baryon and/or meson contain strange quarks, and also characterize their 1/Nc corrections, thus opening a new front in the phenomenological study of baryon-meson scattering and baryon resonances.