<binomial latex_name="\binomial" lhs="upper" rhs="lower" title="Binomial coefficient" type="phrasegroup">
  <mes>
    <me name="entity" />
    <me name="phrase" />
    <me name="phrasegroup" />
  </mes>
  <characteristics>
    <ch name="_bodmasable" />
  </characteristics>
  <inherited_properties>
    <ip name="font_size" type="int" value="45" />
    <ip name="bold" type="bool" value="False" />
    <ip name="font_size_coeff" type="float" value="1.0" />
    <ip name="rgb_colour" type="tuple">
      <ti type="float" value="0.0" />
      <ti type="float" value="0.0" />
      <ti type="float" value="0.0" />
    </ip>
    <ip name="font_size_combined_coeff" type="float" value="1.0" />
  </inherited_properties>
  <properties>
    <property name="phraser" type="str" value="expression" />
    <property name="highlight_group" type="bool" value="True" />
    <property name="name" type="str" value="phrase_74953000" />
    <property name="enterable" type="bool" value="False" />
  </properties>
  <entities>
    <phrase_74977792 type="bracketed_phrase">
      <targets>
        <target name="expression" type="target_phrase">
          <properties>
            <property name="enterable" type="bool" value="False" />
            <property name="name" type="str" value="expression" />
            <property name="deletable" type="int" value="2" />
          </properties>
          <entities>
            <phrase_76255960 type="phrase">
              <properties>
                <property name="attachable" type="bool" value="False" />
                <property name="name" type="str" value="phrase_76255960" />
                <property name="enterable" type="bool" value="False" />
              </properties>
              <entities>
                <phrase_79499136 row="-1" target="upper" type="phrase">
                  <properties>
                    <property name="name" type="str" value="phrase_79499136" />
                    <property name="attachable" type="bool" value="False" />
                  </properties>
                  <rows>
                    <row align="c" id="0" />
                  </rows>
                </phrase_79499136>
                <entity_76317760 height="0.1" type="space" width="0.1">
                  <properties>
                    <property name="show_decorated" type="bool" value="True" />
                    <property name="attachable" type="bool" value="False" />
                    <property name="name" type="str" value="entity_76317760" />
                  </properties>
                </entity_76317760>
                <phrase_76327680 row="1" target="lower" type="phrase">
                  <properties>
                    <property name="name" type="str" value="phrase_76327680" />
                    <property name="attachable" type="bool" value="False" />
                  </properties>
                  <rows>
                    <row align="c" id="0" />
                  </rows>
                </phrase_76327680>
              </entities>
              <rows>
                <row align="c" id="0" />
                <row align="c" id="-1" />
                <row align="c" id="1" />
              </rows>
            </phrase_76255960>
          </entities>
        </target>
      </targets>
    </phrase_74977792>
  </entities>
  <targets>
    <target name="upper" type="target_phrase">
      <properties>
        <property name="enterable" type="bool" value="False" />
        <property name="name" type="str" value="upper" />
        <property name="deletable" type="int" value="2" />
      </properties>
    </target>
    <target name="lower" type="target_phrase">
      <properties>
        <property name="enterable" type="bool" value="False" />
        <property name="name" type="str" value="lower" />
        <property name="deletable" type="int" value="2" />
      </properties>
    </target>
  </targets>
  <latex>"bin ("+self["upper"].to_latex()+","+self["lower"].to_latex()+")"</latex>
  <sympy>sympy.functions.combinatorial.factorials.binomial(self["upper"].get_sympy(),self["lower"].get_sympy())</sympy>
  <string>unicode("bin(")+self["upper"].to_string()+unicode(",")+self["lower"].to_string()+unicode(")")</string>
  <info>Evaluates binomial coefficient for the top and bottom</info>
  <wiki>Binomial coefficient</wiki>
  <symbol>bin(a,b)</symbol>
  <category>Discrete</category>
  <alternatives>binomial</alternatives>
</binomial>
