SOLUTION: In how many ways can 30 school teachers be assigned to 6 schools, with each school receiving an equal number of teachers?

Question 1117734: In how many ways can 30 school teachers be assigned to 6 schools, with each school receiving an equal number of teachers?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
In how many ways can 30 school teachers be assigned to 6 schools, with each school receiving an equal number of teachers?
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5 per school.
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For the 1st school:
1 of 30, then 1 of 29, then 1 of 28, etc
--> 30*29*28*27*26 = 17100720 ways
But, selecting A, B, C, D & E is the same as E, D, C, B & A
--> 17100720/(5*4*3*2*1) = 142506 ways
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That leaves 25 teachers for 5 schools.
Can you do the rest?
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