  In this note we find new relations in the mapping class group of a genus two
surface with n boundary components for n=1,..., 8 which induce a genus two
Lefschetz fibration $CP^2#13CP^2bar \to S^2$ with n disjoint sections. As a
consequence, we observe any holomorphic genus 2 Lefschetz fibration without
separating singular fibers admits a section.
