A transmission is disclosed having a planetary gear set with three input torque-transmitting mechanisms, such as friction clutches, to achieve torque flow through the planetary gear set to a countershaft gearing arrangement. The transmission includes an input member, an output member, a planetary gear set, an input clutch assembly having three input clutches and a countershaft gearing arrangement. The countershaft gearing arrangement is operatively connected with the planetary gear set and includes: at least three co-planar intermeshing gears, first and second countershafts, a first intermediate shaft and a second intermediate shaft concentric with the first intermediate shaft.