Filling in a missing portion of a truth table I have the following truth table:
$$
\boxed{
\begin{array}{c|c|c|c}
a & b & c & x \\ \hline
F & F & F         & F \\
F & F & T         & F \\
F & T & F         & F \\
F & T & T         & F \\
T & F & F         & T \\
T & F & T         & T \\
T & T & F         & F \\
T & T & T         & T 
\end{array}}
$$
I am supposed to use any logical operator: and, or, not. I tried like $10$ formulas already, and I am not able to think of what combination of $a,b,c$ will get that $x$ column right. Have I missed something really silly? 

Hint: 

 $$x\equiv a\land(\neg b\lor c).$$

How did I come up with this? Well, if $a$ is false, then any conjunction with $a\land(\text{something here})$ will be false as well. That takes care of the top half of the truth table. All that is left, then, is to figure out how to manipulate a combination of $b$ and $c$ to combine with $a$ to give the desired truth values. Thus, what you want is what is given above (grayed out in case you want to try to deduce it yourself).
