37 teachers assigned to 2 classes of 32 schools and each

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Joined: 14 Sep 2005

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37 teachers assigned to 2 classes of 32 schools and each [#permalink]

12 Dec 2005, 22:05

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37 teachers assigned to 2 classes of 32 schools and each teachers did at least 1 class and less than 4 classes. what is the maximum and minimum of teacher's number who assigned to 3 classes?

1. 0. 13
2. 1, 13
3. 1, 12
4. 1, 12
5. 1, 14
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13 Dec 2005, 17:56

IMO - Should be A or 1. 0. 13

First of all the question should state min and max as ans is in that order.

Now how I get this is:

Total of 64 classes have to be distributed b/w 37 teachers so that each gets atleast one class. after first round of assignment of 1 each we have 27 classes left to distribute to 37 teachers.

Min is got by distributing 1 each to all , which gives 0 for 3 classes.

Max is got by distributing 27 classes in terms of 2 each to 13 teachers. Remaining 1 is distributed as a total of 2 class for 1 teacher.

Hence 0,13

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14 Dec 2005, 04:57

A

37 teachers, 64 classes

Min:
37 got atleast one class. Out of these 27 (64-37=27) can get one more class each. So teachers with 3 classes = 0

So Min = 0

Max:
37 got atleast one class. Out of these 13 (64-37=27/2 = 13.5) can get 2 classes each.
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

[#permalink] 14 Dec 2005, 04:57

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37 teachers assigned to 2 classes of 32 schools and each

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37 teachers assigned to 2 classes of 32 schools and each

37 teachers assigned to 2 classes of 32 schools and each

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