[ELI5] Why do attack helicopters carry anti-personnel rockets when they have the chaingun?

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In almost every picture or video you see of an apache, viper, hinde, or any other helicopter gunship, they have anti-tank/anti-armor missiles (i.e. hellfires/TOWs) as well as few dozen antipersonnel rockets like hydras. Why do they not use carry half as many hellfires as they can carry in lieu of rockets? Isn’t the chaingun designed to perform the same function of taking out troops and light armored vehicles? Why not double the payload of AT weapons instead?

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