It is not possible to say for sure if it is the connector on the motherboard or the connector on the powersupply without testing them. The only way to fix the motherboard (if it is broken) is to re-solder the connection (rather tricky if you arent good at this). Or you could purchase a new motherboard as well to fix it. I would start with the power supply first though, as this is easier to see if a new one fixes the problem or not.
Good luck
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