SOLUTION: THE ARE 20 STUDENTS AND THEY NEED TO BE ALLOCATED INTO 3 CLASSROOMS.IN HOW MANY WAYS CAN THIS BE DONE
1.ASSUMING THAT THE STUDENTS ARE IDENTICAL
2.ASSUMING THAT THE STUDENTS ARE
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Question 10458: THE ARE 20 STUDENTS AND THEY NEED TO BE ALLOCATED INTO 3 CLASSROOMS.IN HOW MANY WAYS CAN THIS BE DONE
1.ASSUMING THAT THE STUDENTS ARE IDENTICAL
2.ASSUMING THAT THE STUDENTS ARE DISTINGUISHABLE
Answer by khwang(438) (Show Source): You can put this solution on YOUR website!
1.ASSUMING THAT THE STUDENTS ARE IDENTICAL
2.ASSUMING THAT THE STUDENTS ARE DISTINGUISHABLE
1. Like the possible solutions of the integral equations
x + y + z = 20 (z,y & z as three classrooms)
Arrange r = 20 possble combinations among n=3 elements.
There are H(n, r) = C(n+r-1, r) = C(22,20) = C(22,2)
=22*21/2 = 21*11 = 231
2. Each student has 3 choices, totally, there 3^20 ways.
Kenny
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