  We have collected a 43 event sample of the decay $K_L\to e^+e^-\mu^+\mu^-$
with negligible backgrounds and measured its branching ratio to be $(2.62 \pm
0.40 \pm 0.17)\times 10^{-9} $. We see no evidence for CP violation in this
decay. In addition, we set the 90% confidence upper limit on the combined
branching ratios for the lepton flavor violating decays $K_L\to
e^{\pm}e^{\pm}\mu^{\mp}\mu^{\mp}$ at ${\mathcal B}(K_L\to
e^{\pm}e^{\pm}\mu^{\mp}\mu^{\mp}) \leq 1.23\times10^{-10}$, assuming a uniform
phase space distribution.
