Combinatorics grid: 3x3 square grid must be filled with numbers 1, 2, 3 so that...

Bestfrog

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Sep 10, 2017
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A 3x3 square grid must be filled with numbers 1,2,3 in such a way that the sum of numbers in every line and column is a multiple of 3. How many different ways are there?
The possible solutions are
a) 54
b) 81
c)

d) 12
I don't know how to get started!
 

Subhotosh Khan

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Joined
Jun 18, 2007
Messages
18,241
A 3x3 square grid must be filled with numbers 1,2,3 in such a way that the sum of numbers in every line and column is a multiple of 3. How many different ways are there?
The possible solutions are
a) 54
b) 81
c)

d) 12
I don't know how to get started!
Repetition of numbers allowed?
 
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