Chapter 8.5, Problem 87E

To determine

Whether any calculator can evaluate ${}_{100}{P}_{80}$ .

Answer to Problem 87E

Explanation of Solution

Calculation:

Calculating ${}_{100}{P}_{80}=\frac{100!}{\left(100-80\right)!}$ generaters big numbers.

In the calculator, numbers are sorted in bits. For every type of number, there are a fixed number of bits assigned to it. The given calculation generates number which requires more bits for calculator to store, which calculator is not able to give; hence it does not calculate this number.