SOLUTION: find the number of ways in which 6 teachers can be assigned to 4 section introductory psychology course if no teacher is assigned to more than one section?

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Question 300277: find the number of ways in which 6 teachers can be assigned to 4 section introductory psychology course if no teacher is assigned to more than one section?

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

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