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Hi Wiebe,

I wouldn't use random numbers, but work with primes below 20. So,
always starting with 1, and then increasing with the prime number
until you reach 100.

You have the following prime numbers : 19,17,13,11,7

Time slot 1 :
group A : 1, 20, 39, 58, 77, 96, (1)15, 34, 53, 72,...
group B : starting with the lowest available number.
group C : starting with the lowest available number.
...

Time slot 2 :
group A : 1, 18, 35, 52, 69, 86, (10)3, 20, 37, 54, 71, 88, (10)5, ...
group B :starting with the lowest available number.
group C : starting with the lowest available number.
...

Time slot 3 : same, but with an increment of 13
Time slot 4 : same, but with an increment of 11
Time slot 5 : same, but with an increment of 7

It might be even more unique when you use even higher primes, but I
guess this methodogy will be fair enough.

It's up to you to write the formulas :)


Good luck!


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On 22 August 2016 at 16:37, Wiebe van der Worp <w@vanderworp.org> wrote:
Hi, I've got a challenge where I want Calc to do something for me. Here I
go:

There is a group of ~100 people (n). In 5 time slots they visit 5 rooms in
groups of ~20 people (n/5). The composition of the groups should be as
different as possible for each time slot. One person may not visit a room
more than once.

Suppose Column A contains id's, say 1..100

Col. B contains first time slot room numbers: =INT(RAND()*5+1)

C, D and E contain room numbers for time slot 2, 3 and 4

F contains time slot 5, for row 1: =15-SUM(B1:E1)

Does anyone have a suggestion for C1, D1 and E1?

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