Mathematics, 25.01.2020 04:31, bhelsea15
If 8 identical blackboards are to be divided among 4 schools, how many divisions are possible? how many, if each school mustreceive at least 1 blackboard?
response:
if8 boards are to be distributed then the number of ways can be8c4=70
and if every school must get atlest one board then it is possiblein 70-14 ways = 56 ways..
let abcd be the schools
a b c d
0 0 0 8 4c1= 4 (three schools dont get even1 board)
0 0 1 7 4c2= 6 (two schools dont get even 1board)
0 1 1 6 4c3 =4
hence 6+4+4=14.
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