Question

Evaluate C(44,21) use scientific notation, round to 3 decimal places as needed.

Answer 1

$C(44,21)=\dfrac{44!}{21!23!}=\dfrac{24\cdot25\cdot\ldots\cdot43\cdot44}{2\cdot3\cdot\ldots\cdot 20\cdot21}=2,012,616,400,080\\ \approx2.013\cdot10^{12}$