The permutation/combination puzzle: What are the maximum number of tickets possible in a game of Tambola? Tambola is an interesting game which is played by numbers(between 1-90) being called out and players crossing out the numbers on the ticket. Prizes are won on particular patterns.  
Facts about the ticket:  
There are 3 rows and 9 columns in every Tambola Ticket
There are total 90 (1-90) numbers in Tambola
There are 3 rows and 9 columns in every Tambola Ticket
Every ticket has exactly 15 numbers
Every row contains 5 numbers
A column may have 1, 2 or 3 numbers. (There should be at least 1 number in every column)
The numbers in a column are always ascending in order from top to bottom.
A Ticket cannot have same number more than once
Column 1 on any ticket has numbers between 1-9
Column 2 on any ticket has numbers between 10-19
Column 3 on any ticket has numbers between 20-29
Column 4 on any ticket has numbers between 30-39
Column 5 on any ticket has numbers between 40-49
Column 6 on any ticket has numbers between 50-59
Column 7 on any ticket has numbers between 60-69
Column 8 on any ticket has numbers between 70-79
Column 9 on any ticket has numbers between 80-90  
So...What are the maximum number of tickets that can be generated???

I think that User3366 wrote the correct rules.
The answer is 6.080.082.602.343.750
The code (in Prolog) to reach the answer is:
sum([], 0).
sum([H|T], Result) :- sum(T, Rest), Result is H + Rest.

:- C1 = [[1,9],[2,36],[3,84]],
C2 = [[1,10],[2,45],[3,120]],
C3 = [[1,10],[2,45],[3,120]],
C4 = [[1,10],[2,45],[3,120]],
C5 = [[1,10],[2,45],[3,120]],
C6 = [[1,10],[2,45],[3,120]],
C7 = [[1,10],[2,45],[3,120]],
C8 = [[1,10],[2,45],[3,120]],
C9 = [[1,11],[2,55],[3,165]],
findall(Z,(
member([X1|Y1],C1),
member([X2|Y2],C2),
member([X3|Y3],C3),
member([X4|Y4],C4),
member([X5|Y5],C5),
member([X6|Y6],C6),
member([X7|Y7],C7),
member([X8|Y8],C8),
member([X9|Y9],C9),
15 is X1+X2+X3+X4+X5+X6+X7+X8+X9,Z is Y1*Y2*Y3*Y4*Y5*Y6*Y7*Y8*Y9),L),
sum(L,CARTONES),
write(CARTONES).

If you read spanish you can find more info here:
http://pablopilotti.blogspot.com.ar/2011/02/cartones-de-bingo.html
