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"Six and one of half a dozen
Black guitars and plastic blues.
Hide behind a wall of nothing
Nothing said and nothing new.
Four chords that made a million."
I-V-vi-IV. There's just something about these four chords that makes for a catchy tune in western pop music, transcending the boundaries of genre, and work in a song with any mood or tempo. This particular ordering of them, the "pop-punk progression" as The Other Wiki calls it, was spawned as a variant of the Doo Wop Progression, and has been particularly popular from the 1990s to the present day.
The Roman numerals above represent a sequence of four chords. If you don't know Roman analysis, check out this video — Porcupine Tree, "Four Chords That Made A Million"
 , or play these chords on a piano: C major, G major, A minor, F major. Repeat if desired. If this progression loops back to I, this effectively produces a Plagal Cadence. Very often, this progression is used as an ostinato—a repeated pattern that occurs throughout a song (or a part of it).
In a major key, this progression is I V vi IV. If we play them in a different order, vi IV I V, (A minor, F major, C major, G major)the progression sounds to be in the relative minor key (the key whose home note starts on the sixth note of its relative major key), in which case we notate it as i VI III VII. This version is sometimes called the "sensitive-female chord progression."
Note, as always, that Tropes Are Tools: while it has proven to be an irresistible progression, a band who relies on it for too many of their songs runs the risk of being regarded as unimaginative and dull.
It's become a recent theme of music oriented comedy to make fun of this trope.
Related chord progressions:
Examples of I V vi IV (the major key version):
Examples of i VI III VII (the minor key version):
Other chord progressions containing the four chords
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