The effects of competing quadrupolar- and spin-glass orderings are investig
ated on a spin-1 Ising model with infinite-range random p-spin interactions
. The model is studied through the replica approach and a phase diagram is
obtained in the limit p --> infinity. The phase diagram, obtained within re
plica-symmetry breaking, exhibits a very unusual feature in magnetic models
: three first-order transition lines meeting at a common triple point, wher
e all phases of the model coexist.