This may be a stupid question but I can't help asking, just to verify.
According to mysql document,
If you have a 4-column index on (col1, col2, col3, col4), you have indexed search capabilities on (col1), (col1, col2), (col1, col2, col3) and (col1, col2, col3, col4).
My question is, how about (col1, col3, col4) or (col1, col2, col4)??