Answer
$14,833,897,694,226$
Work Step by Step
RECALL:
${n}\choose{k}$$=\dfrac{n!}{k!(n-k)!}$
Use the formula above to obtain:
${47}\choose{25}$$\require{cancel}
\\=\dfrac{47!}{25!(47-25)!}
\\=\dfrac{47!}{25!22!}
\\=14,833,897,694,226$