Question

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

Answer 1

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