It was an away game at West Bromwich Albion and it ended in a 4-1 victory – with all three of them scoring.
The trio would come to be known collectively as 'The United Trinity' and, together, they made a total of 1,632 appearances and scored 665 goals for the Reds, before later being immortalised in a bronze statue outside Old Trafford.
Here we remember their remarkable careers with the help of three objects from the club's museum, beginning with a prestigious individual honour that Best, Law and Charlton famously all won in the space of four years.