Product review (5 stars): Perfect replacement part for Kenmore HE2t
This is the perfect replacement pump assembly for the Kenmore HE2t. Simply remove the three screws along the front bottom of the washer and remove the bottom panel. After removing the panel, slowly unscrew the large plug (drain). Here is an excellent trick: bring over your wet/dry vac. As you slowly open the drain plug, hold your vacuum tube right up to it. It will actually suck up all of the water before it even hits the floor! Just adjust the flow rate of the water so that it doesn't overwhelm the suction of the vacuum. Depending on the size of your vacuum, you may have to stop and empty it a couple of times.

After draining the water, you can remove the plug entirely. You will likely find a bunch of junk in the tray behind the plug. Clean it all out. If the rest of the assembly is in good shape, you can replace just the pump part of the assembly. The pump is the white\yellow colored portion in this picture. There is a little white tab near the top of where the pump meets up with the rest of the assembly that keeps the pump from twisting off. Use a screwdriver to push this tab in. Then simply rotate it to remove the pump. Do the same with the new assembly. Then swap the new one in place. This will save you from having to get to the underside of the washer for the screws, and you won't have to deal with reattaching the hoses!

Good luck!