Falkirk were left ruing refereeing decisions again after Michael McGovern and Farid El Alagui were red carded in the 2-1 defeat in Dingwall.
The pair will miss Tuesday's home match with Morton - a game almost meaningless on the destination of the title after County's win.
The result looked certain as early as the 16th minute when a poor backpass from Stephen Kingsley put Michael McGovern under pressure. The goalkeeper controlled makeshift centre-half's pass but caught the challenging Colin McMenamin and ref Alan Muir raced 40 yards pointing to the spot.
He then brandished a red card at the goalkeeper paving the way for rookie Graham Bowman's competitive debut. But the teenager's return to first team action since playing in a friendly at Alloa in July was to retrieve Richard Brittain's spot-kick from the net.
He barely had time for another save beofre pulling Rocco Quinn's thundering blast from the goal as County sailed into a two-goal lead over the ten men.
Falkirk were flummoxed but battled back.
Just seconds after the interval Farid El Alagui and Stuart Kettlewell contested a 50-50 challenge in the centre circle and clashed off the ball, and card-happy ref Muir dolled out a yellow each on the way to showing further to Rhys Bennett, Scott Boyd, Colin McMenamin, Paul Lawson and EL Alagui again.
He walked in the 83rd minute after Falkirk reverted to a 3-3-3 formation to find an equaliser.
Mark Millar hauled them into the game with another specacular free-kick fro the foul on el Alagui that earned Boyd his booking.
Around 30 yards from goal - or Rangers distance as it's become known in reflection of the midfielder's previous expertise - Millar swept the ball into the top corner of the net to give Falkirk a fighting chance.
But as they switched to find the importnat equalsier and threw on Jordan White, El Alagui was removed for a nudge on Scott Morrison.
It leaves the Morroccan on the sidelines with Kieran Duffie and McGovern for Tuesday night's game at The Falkirk Stadium, but Darren Dods and Steven Pressley are both back available after serving their respective bans.