Many Calculators or Computers Cannot Directly Calculate 70 ! or Higher

Multiple Choice

Many calculators or computers cannot directly calculate 70 ! or higher. When $\mathrm{n}$ is large, $\mathrm{n}$ ! can be approximated by $\mathrm{n} !=10^{\mathrm{K}}$ , where $\mathrm{K}=(\mathrm{n}+0.5) \log n+0.39908993-0.43429448 \mathrm{n}$ . Evaluate 79 ! using the approximation given above.

A) $8.937 \times 10^{116}$
B) $1.005 \times 10^{116}$
C) $2.890 \times 10^{313}$
D) $1.170 \times 10^{2}$