Quick-fire second-half goals from Falkirk's Kallum Higginbotham and Craig Sibbald helped kill off East Fife in the quarter-finals of the Ramsdens Cup.
Prior to that, Mark Millar's shot from 12 yards for Falkirk had cancelled out Ryan Wallace's 27th-minute goal for Division Two basement side East Fife.
A Higginbotham free-kick put Falkirk 2-1 ahead in 52 minutes and two minutes later Sibbald scored from 18 yards.
And a Higginbotham shot three minutes from time completed the scoring.
East Fife: Michael Brown, Scott Durie, Ovenstone, Campbell, Park, Linn, Muir, Robert Sloan (Cook 83), Johnstone (Young 51), McQuade (Hislop 69), Wallace.Subs Not Used: Collier, Martin.
Goals: Wallace 27.
Falkirk: McGovern, Duffie, Dods, Wallace, Scobbie, Jay Fulton (Dale Fulton 80), Murdoch, Mark Millar, Sibbald (Alston 76), Weatherston (Bennett 73), Higginbotham.Subs Not Used: Bowman, Graham.
Goals: Mark Millar 42, Higginbotham 52, Sibbald 54, Higginbotham 87.
Referee: Brian Colvin