Verified Answer :

superkoopasirf

\(\frac{14!}{12!2!} \\\\ = \frac{14!}{12!} . \frac{1}{2!} \\\\ = (14 \times 13) . \frac{1}{2} \\\\ = \frac{182}{2} \\\\ = 91\)

\(\frac{14!}{12!2!}\)

This is what it basically means:
\(=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{12*11*10*9*8*7*6*5*4*3*2*1(2*1)}\)

To simplify that, cross out numerators that are the same as the denominators because anything divided by itself equals 1.
\(=\frac{14(13)}{2*1}\)
Now because anything multiplied by 1 stays the same, this simplifies to
\(=\frac{14(13)}{2}\)
\(=\frac{182}{2}\)
\(=91\)

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