B727 CREW HAD #3 ENG FAIL DUE TO INADVERTENT SELECTION OF FUEL CUTOFF.

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ON DEP OUT OF 2200 FT; THE #3 ENG QUIT. THE RED BOX ITEMS WERE DONE; AND I LEVELED AT 2500 FT. I GAVE THE ACFT TO THE FO; AND HE TOLD ATC WE WANTED TO CONTINUE ON A 120 DEG HDG AT 2500 FT. THE SO AND I PROCEEDED WITH THE FIRE; DAMAGE; SHUTDOWN CHKLIST. DURING THE CHKLIST; I SAW THE #3 FUEL SHUT-OFF SWITCH IN THE 'OFF' POS. WE THEN DETERMINED THAT THE SO HAD HIS PEN IN THE PALM OF HIS HAND WHEN HE STARTED TO XFEED OUT OF #2 TANK. AS HE SHUT OFF THE #3 BOOST PUMPS; THE TIP OF THE PEN HIT THE FUEL SHUT-OFF SWITCH; BUT HE WAS UNAWARE OF IT AT THE TIME. SINCE I KNEW EXACTLY WHY THE ENG QUIT; I ELECTED TO DO THE ENG RESTART CHKLIST; AND CONTINUE ON TO GUA. ALL ENG GAUGES WERE IN THE NORMAL RANGE. THE RESTART WAS UNEVENTFUL. THE ENG WAS SHUT DOWN FOR APPROX 4 MINS. I CALLED DISPATCH AND TOLD HER THE SIT; AND THAT THE CREW FELT EVERYTHING WAS BACK TO NORMAL AND THAT WE WERE GOING TO GUA. SHE AGREED WITH ME. LATER AFTER LEVELOFF I GOT ACR TECHNICIAN ON A PHONE PATCH AND TOLD HIM THE SAME AS I TOLD DISPATCH. I MADE AN ENTRY IN THE ACFT LOGBOOK STATING THE SAME. SUPPLEMENTAL INFO FROM ACN 411252: ON CLBOUT FROM MIA AFTER ACFT CLEAN-UP I WENT TO FEED FUEL FROM THE CTR TANK. I HAD MY PEN IN HAND AND AS I SHUT OFF THE #3 ENG BOOST PUMPS MY PEN MUST HAVE HIT THE #3 SHUT- OFF SWITCH. THE #3 ENG WOUND DOWN. AFTER ANALYZING THE SIT THE CAPT MADE THE DECISION TO RESTART THE ENG. THE ENG RESTARTED NORMALLY AND WE PROCEEDED TO GUA. NEEDLESS TO SAY I SHALL NOT HAVE A PEN IN HAND WHILE USING THE FUEL PANEL IN THE FUTURE.