Since the order of selection does not matter, we will use combinations to solve this problem.
We are to form the combination of 30 objects taken 6 at a time. This can be expressed as 30C6.
This means the six teachers can be selected in 593775 ways.
So the correct answer is option A
The answers are A and F.
You can tell by looking at the slopes and seeing that they've been flipped and one is positive while the other is negative.