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mathmlben

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Visualization for goldstandard

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<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="StartBinomialOrMatrix n Choose k EndBinomialOrMatrix equals StartFraction n factorial Over k factorial left-parenthesis n minus k right-parenthesis factorial EndFraction"> <semantics> <mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="24" data-semantic-children="5,23" data-semantic-content="8"> <mrow class="MJX-TeXAtom-ORD"> <mrow data-semantic-type="vector" data-semantic-role="binomial" data-semantic-id="5" data-semantic-children="3,4" data-semantic-content="0,6" data-semantic-parent="24"> <mrow class="MJX-TeXAtom-OPEN"> <mo maxsize="2.047em" minsize="2.047em" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="0" data-semantic-parent="5">(</mo> </mrow> <mfrac linethickness="0"> <mrow data-semantic-added="true" data-semantic-type="line" data-semantic-role="binomial" data-semantic-id="3" data-semantic-children="1" data-semantic-parent="5"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="1" data-semantic-parent="3">n</mi> </mrow> <mrow data-semantic-added="true" data-semantic-type="line" data-semantic-role="binomial" data-semantic-id="4" data-semantic-children="2" data-semantic-parent="5"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="2" data-semantic-parent="4">k</mi> </mrow> </mfrac> <mrow class="MJX-TeXAtom-CLOSE"> <mo maxsize="2.047em" minsize="2.047em" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="6" data-semantic-parent="5">)</mo> </mrow> </mrow> </mrow> <mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="8" data-semantic-parent="24" data-semantic-operator="relseq,=">=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="23" data-semantic-children="11,22" data-semantic-parent="24"> <mrow data-semantic-type="punctuated" data-semantic-role="endpunct" data-semantic-id="11" data-semantic-children="9,10" data-semantic-content="10" data-semantic-parent="23"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="9" data-semantic-parent="11">n</mi> <mo data-semantic-type="punctuation" data-semantic-role="unknown" data-semantic-id="10" data-semantic-parent="11" data-semantic-operator="punctuated">!</mo> </mrow> <mrow data-semantic-type="punctuated" data-semantic-role="sequence" data-semantic-id="22" data-semantic-children="12,13,21,19" data-semantic-content="13,19" data-semantic-parent="23"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="12" data-semantic-parent="22">k</mi> <mo data-semantic-type="punctuation" data-semantic-role="unknown" data-semantic-id="13" data-semantic-parent="22" data-semantic-operator="punctuated">!</mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="21" data-semantic-children="20" data-semantic-content="14,18" data-semantic-parent="22"> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="14" data-semantic-parent="21" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="20" data-semantic-children="15,17" data-semantic-content="16" data-semantic-parent="21"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="15" data-semantic-parent="20">n</mi> <mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="16" data-semantic-parent="20" data-semantic-operator="infixop,−"><!-- − --> </mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="17" data-semantic-parent="20">k</mi> </mrow> <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="18" data-semantic-parent="21" data-semantic-operator="fenced">)</mo> </mrow> <mo data-semantic-type="punctuation" data-semantic-role="unknown" data-semantic-id="19" data-semantic-parent="22" data-semantic-operator="punctuated">!</mo> </mrow> </mfrac> </mrow> </mrow> <annotation encoding="application/x-tex">{\binom {n}{k}}={\frac {n!}{k!(n-k)!}}</annotation> </semantics> </math>