Order matters here. To show that order matters here,
Let the teachers be A,B,C,D,E,F
Let the sections be 1,2,3,4.
Now take an arbitrary sample case, for instance:
B with secton 1, E with section 2, A with section 3, and C with section 4.
This is a different situation from when those same four teachers are
positioned in a different order, say,
A with secton 1, C with section 2, E with section 3, and B with section 4.
So the number is
"6 Position 4" =
[Don't confuse that with "6 Choose 4" or "6C4" when order does not matter,
as if we were choosing a committee of 4 from the 6 teachers. Always take
a specific sample case, think of rearranging it and decide whether the
rearrangement is considered a different situation or the same situation.
Reaggarnging the members of a committee does not change the committee, but
assigning the same 4 to different sections is not the same situation.]
Edwin