Nerves from the neck that go down the arm are called the “brachial plexus,” literally meaning “arm (brachial) network of nerves (plexus).”
Picture the wires inside an electrical box outside your house---multiple wires coming in, maybe different colors, bundled together in clusters of wires, going somewhere inside your home. A rough analogy, but your brachial plexus is somewhat similar.
Nerves exit the spine in the neck, join into “bundles,” and travel down the arm and into the hand.