Let $S$ be a set of $10$ elements.

A$)$ What is $|Pow(S)|?$

B$)$ How many non$-$empty subsets of $S$ are there?

C$)$ Let and AinPow$(S)$ What is the size of $B?$

D$)$ Most programming languages index into arrays $($a sequence data type$)$ starting at $0.$ In such an array of length $100,$ what is the index of the last element?