[subject] + 无 + [noun]
无 + [noun]
无法 + [verb]
无 means "have no" or "there is no" in written Chinese, the formal 没有. It takes a noun straight after it, and it doesn't combine with 了 or 过.
In notices and set phrases 无 stands alone before a short noun: 无人 "no one", 无效 "invalid", 无声 "silent", 无数 "countless". An everyday sentence still uses 没有.
As a prefix, 无 makes a describing word from a noun: 无糖 "sugar-free", 无线 "wireless", 无人机 "drone", literally "no-person machine".
无法 + verb means "unable to", the written 没办法. 毫无 + noun means "not the slightest": 毫无意义, 毫无兴趣.
无 denies having, not doing. An action that didn't happen takes 没 or 未.
无论, 无不 and 无非 are separate words with their own entries.