Answer
$17,672,631,900$
Work Step by Step
RECALL:
${n}\choose{k}$$=\dfrac{n!}{k!(n-k)!}$
Use the formula above to obtain:
${37}\choose{19}$$\require{cancel}
\\=\dfrac{37!}{19!(37-19)!}
\\=\dfrac{37!}{19!18!}
\\=17,672,631,900$
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