ACR FLT CREW RECEIVED A PDC WHICH INDICATED THAT THE FLT WAS CLEARED AS FILED. AFTER TKOF; ATC INDICATED THAT THEY HAD EXPECTED THE FLT TO BE NAVIGATING A DIFFERENT SID AND ROUTE.

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DURING PREFLIGHT; WE REVIEWED OUR FLIGHT PLAN WHICH SHOWED A FILED ROUTE TO ZZZ OF FWA3 FWA DCT VHP DCT BWG ....ZZZ. WE RECEIVED OUR PDC; WHICH SHOWED US -CLEARED AS FILED- DTW FWA3 FWA VHP BWG .... THE PDC FURTHER STATED FT WAYNE THREE/ CTC DEPARTURE 125.52 MAINT 10000 FT. AFTER TAKEOFF; WHEN WE FIRST CONTACTED DEPARTURE CONTROL; DEPARTURE TOLD US TO TURN LEFT AND INTERCEPT THE 202 RADIAL TO CAVVS. THE FWA DEPARTURE IS ON THE 217 RADIAL SO THIS IMMEDIATELY GOT OUR ATTENTION. I QUERIED DEPARTURE ABOUT OUR ROUTE; AND WAS TOLD IT WAS RID DEPARTURE WATERTOWN; V467 RID IIU BWG... HE SPIT THE ROUTE OUT SO QUICKLY THAT I HAD TO ASK HIM TO REPEAT IT. I TOLD DEPARTURE WE HAD A PDC IN HAND WHICH STATED THE FWA3 FWA.....ZZZ. DEPARTURE THEN TOLD US TO EXPECT RADAR VECTORS TO CAVVS THEN THE ROUTE HE HAD GIVEN US. I DON'T KNOW HOW A MISTAKE LIKE THIS IS MADE; BUT I KEPT ALL THE PAPERWORK FROM THIS FLIGHT; AND THERE IS NO MISTAKE ABOUT WHAT WAS ON OUR FLIGHT PLAN AND PDC. DURING TAXI OUT IS USUALLY WHEN YOU WOULD HEAR FROM ATC ABOUT A RE-ROUTE; BUT NOTHING WAS SAID TO US.