\beamer@endinputifotherversion {3.06pt}
\select@language {english}
\beamer@sectionintoc {2}{Counting}{3}{1}{1}
\beamer@subsectionintoc {2}{1}{Multiplication Principle}{3}{1}{1}
\beamer@subsectionintoc {2}{2}{Addition Principle}{27}{1}{1}
\beamer@subsectionintoc {2}{3}{Using the Principles Together}{51}{1}{1}
\beamer@subsectionintoc {2}{4}{Decision Trees}{77}{1}{1}
\beamer@subsectionintoc {2}{5}{Pigeonhole Principle}{85}{1}{1}
\beamer@subsectionintoc {2}{6}{Inclusion and Exclusion}{107}{1}{1}