Simple in concept, though sometimes complicated in practice, are the Boolean operators & $($AND$),!($OR$),$ and $\text{'}($NOT$).$ The symbol & is the Boolean operator for ANDing.

If applied against logical "true" and "false" statements, both statements must be "true" in order for the AND statement to be true. That is$,$ if the variables A and B are both true, the statement A&B is true, while if either A or B $($or both A and B$)$ are false, the statement A&B is false.

Question: Assume the variable A is true, the variable B is true, and the variable C is false. Which of the following is false?

A$.$ A&B&C

B$.$ B&B

C$.$ A&B

D$.$ None of the above