Department numbers: Difference between revisions

=={{header|Lua}}==

<lang lua>

print( "Fire", "Police", "Sanitation" )

sol = 0

for f = 1, 7 do

for p = 1, 7 do

for s = 1, 7 do

if s + p + f == 12 and p % 2 == 0 and f ~= p and f ~= s and p ~= s then

print( f, p, s ); sol = sol + 1

end

end

end

end

print( string.format( "\n%d solutions found", sol ) )

</lang>

{{out}}

<pre>

Fire Police Sanitation

1 4 7

1 6 5

2 4 6

2 6 4

3 2 7

3 4 5

4 2 6

4 6 2

5 4 3

5 6 1

6 2 4

6 4 2

7 2 3

7 4 1

14 solutions found

</pre>