  About seventy percent of intermediate-age star clusters in the Large
Magellanic Clouds have been confirmed to have broad main sequence, multiple or
extended turn-offs and dual red giant clumps. The observed result seems against
the classical idea that such clusters are simple stellar populations. Although
many models have been used for explaining the results via factors such as
prolonged star formation history, metallicity spread, differential redenning,
selection effect, observational uncertainty, stellar rotation, and binary
interaction, the reason for the special color-magnitude diagrams is still
uncertain. We revisit this question via the combination of stellar rotation and
binary effects. As a result, it shows "golf club" color-magnitude diagrams with
broad or multiple turn-offs, dual red clump, blue stragglers, red stragglers,
and extended main sequences. Because both binaries and massive rotators are
common, our result suggests that most color-magnitude diagrams including
extended turn-off or multiple turn-offs can be explained using simple stellar
populations including both binary and stellar rotation effects, or composite
populations with two components.
