As suggested above double check all the power connections - especially the front panel connections.
Refer to the motherboard's User Guide and the Case documentation. Details matter.
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And remember that the PSU provides three different voltages (3, 5, and 12) to various system components.
So an indication that power is present does not mean that all components are receiving voltage or the correct voltage.
Do you have a multi-meter available and know how to use it? Or know someone who does?
FYI:
https://www.lifewire.com/how-to-manually-test-a-power-supply-with-a-multimeter-2626158
Not a full test because the the PSU is not under load.
However, any voltages out of tolerance indicate a faulty or failing PSU.
If testing is not possible then swap in another known working PSU if at all possible. Be sure to use only the cables that come with the swapped in PSU.