The Parkhead club announced on Friday that chief executive Dominic McKay had left the club for personal reasons just months after taking over from Peter Lawwell.

That news came as a shock to the Hoops fans, but they will be more concerned with on-field matters and glad to get the victory after a sloppy first hour or so where frustrations had grown.

Postecoglou was working with a new-look Hoops squad shorn of attackers Odsonne Edouard, Leigh Griffiths and Ryan Christie, who left during the transfer window.

There were debuts for Portuguese winger Jota, on loan from Benfica, and United States defender Carter-Vickers, on loan from Tottenham.

With Furuhashi injured, fringe forward Ajeti was pitched in, with Greg Taylor and Tom Rogic also back in the side.

County boss Malky Mackay had rejuvenated his squad during the summer and he had forward Alex Samuel making his debut and Jack Baldwin and Jack Burroughs in for their first starts, and they helped the visitors restrain Celtic in the first half.

In the 16th minute, Rogic set up Abada with a clever pass inside Ben Paton and the winger's shot from the angle was palmed on to the crossbar by Laidlaw, the ball flying to safety.

In the 23rd minute, Celtic skipper Callum McGregor sent Ajeti racing down the left channel but his weak and unconvincing shot was easily saved by Laidlaw.

Midfielder David Turnbull hit the side netting with a drive, but as County broke with belief and purpose, skipper Blair Spittal's delivery from the right sped across Joe Hart's box with Ross Callachan inches away from connecting.

Again the home side came close in the 37th minute when Abada's shot deflected on to the bar and over, the corner coming to nothing, before he missed the target at the back post from a Rogic pass, with the impressive Jota finishing the half by testing Laidlaw with a long-range drive.

Celtic kept pushing forward but too often the final ball was amiss or the finishing poor.

There was more than a stroke of luck about Carter-Vickers' goal, the burly defender stepping forward and trying his luck from 30 yards, with his drive hitting Callachan before looping over Laidlaw and into the net.

County now had to push forward and minutes later Hart had to make a fantastic save from substitute Dominic Samuel's close-range header.

However, Ajeti showed how it should be done when he gave Laidlaw no chance from Abada's cross from the right for his first goal since February. And, with that, County's hopes of a positive result disappeared.

Ajeti grabbed his second with five minutes remaining when he headed in from two yards, after substitute James McCarthy had headed a Turnbull cross against the crossbar.