I am fascinated by board games. They provide immense fun, anyone can enjoy them, they are unpredictable and best of all they are great value for money. That is why whenever I get sometime I experiment with simulating games to know them better [read Why Monopoly board game is not as random as it appears]. So, out of curiosity I have created an excel sheet that can generate bingo / housie (housey) tickets – 24 of them at a time. To get new set of tickets you would hit F9 (recalculate).
Click here to download the bingo / housie ticket generator.
Note that these are Bingo UK / India / Australia variant I am talking about, not the US 5*5 type of bingo tickets.
Read on if you want to know how this is done:
According to Wikipedia:
A typical housie/bingo ticket .., contains fifteen numbers, arranged in nine columns by three rows. Each row contains five numbers and four blank spaces. Each column contains either one, two, or very rarely three, numbers:
* The first column contains numbers from 1 to 9,
* The second column numbers from 10 to 19,
* The third 20 to 29 and so on up until the last column, which contains numbers from 80 to 90.
I have removed number “90” from the list in order to reduce some complexity in generating the tickets.
The problem is now to “generate 15 random number between 1 to 89 and fill them in 15 random spots in a grid of 3 rows by 9 columns such that each row has exactly 5 numbers”
Now I could write a function in VBA to do this, but I wanted to do this only using formulas. So I started breaking the problem.
The first challenge is to select any random 5 cells in a 9 cell row
Once we select any random 5 cells in a 9 cell row, we will fill them with bingo numbers. Now, excel has a function to generate random numbers between 1 to 9 (=round(rand()*9,0)), but this is not good for us since each time we call this function we will get a random number between 1 to 9, where as we need a 5 random numbers without repetition between 1 to 9. The function is memoryless and could repeat numbers when called 5 times.
Instead we can list all the possible “5 cells with numbers and others are empty” combinations of a 9 cells region and select a random combination every time. There are essentially 9C5 i.e. 126 ways in which you can select any 5 cells out of 9 cells (without repetition of course).
So I listed all these combinations in a table and then randomly selected one of the combinations. You can see the first five such combinations in the image below:
Selecting any five cells out of nine cells
Now I created a 3*9 region and filled the cells with 1s or 0s, “1” when the cell in bingo ticket is supposed to have a value and “0” if the cell is empty as shown below:
Next challenge is to show random values in each cell
The trick here is that first column in our 3*9 bingo ticket has any number(s) from 1 to 9, second column has any number(s) from 10 to 19 …
Again, the challenge is the numbers should not repeat, otherwise we could simply use rand()*10, rand()*10+10, rand()*10+20 ... to generate the numbers.
This time it gets even more trickier because each column can have either no values, or 1 value or 2 values or 3 values.
The ticket generation logic now looks like:
- If the column has no values in it, then we will leave all the cells in that column of bingo ticket empty
- If the column has 1 value, we will generate any random number from that column’s range of possible values (1-9, 10-19,20-29,…80-89) and place it in the cell that is supposed to have a value and leave other cells empty.
- If the column has 2 values, we will generate 2 random numbers without repetition from that column’s range of possible values and place them in cells that are supposed to have them
- If the column has 3 values, we will generate 3 random numbers without repetition from that column’s range of possible values and place them in cells that are supposed to have them
As you can see, it is easy when the column has no or 1 value in it. But when the column has 2 or 3 I used the combinations trick described earlier.
First I created all 2 number combinations and 3 number combinations. Since the numbers on Bingo ticket are always sorted from top to bottom in a column, I just had to list down 45 combinations (10C2) for 2 numbers and 120 combinations (10C3) for 3 numbers.
The rest of the details are small enough that I can leave them to your imagination. So when the ticket is generated, it looks like this:
Remember to download housie / bingo ticket generator excel sheet and print your tickets at home. Just F9 to generate new set of tickets. Un-hide the rows from 43 if you want to see how this is done.
Like this post: Join our newsletter to get more yummy Excel stuff.
15 Responses to “Christmas Gift List – Set your budget and track gifts using Excel”
[...] Christmas Gift List – Set your budget and track gifts using Excel … [...]
I'm confused: if you spend $10, and your budget is $40, shouldn't the amount in the "Within Budget?" column stay black, since you didn't go over budget?
In other words, since we overspent on the electronic photo frame, shouldn't the $8 cell turn red?
@JP.. maybe Steven is encouraging consumerism... ?
I havent realized it earlier, but now I see it. If you unprotect the sheet, you can change the formula in Column I to =IF(G13=0;" ";F13-G13) from =IF(G13=0;" ";G13-F13), that should correct the behavior.
Thanks Chandoo. I thought of making a shopping list spreadsheet for Christmas, but this is neat so I think I'll use this instead.
Chandoo & Steven thanks for this spreadsheet. But for the sake of a person who has been staring at this megaformula in vain for the last 40 mins and not afraid to ask, would it be possible for you to walk us through the logic used here?
=SUM(SUMPRODUCT(SUBTOTAL(3,OFFSET($K$13:$K$62,ROW($K$13:$K$62)-MIN(ROW($K$13:$K$62)),0,1)),--($K$13:$K$62="-"))+SUMPRODUCT(SUBTOTAL(3,OFFSET($K$13:$K$62,ROW($K$13:$K$62)-MIN(ROW($K$13:$K$62)),0,1)),--($K$13:$K$62="0")))&" / "&SUBTOTAL(2,$G$13:$G$62)
Thanks Chandoo.. This is one of the best budget spreadsheets I've ever seen.. The Arrays are out of this world!! And it's FREE!!
Chandoo, can you tell us more about Steven? Does he have his own site?
JP, I think Chandoo changed it when he changed the currency formatting from £ to $, a negative figure is a good thing in this case. But don't change the formulas, the overbudget and under budget won't work properly if you do. Also Chandoo I think you've accidentally broke the conditional formatting for the alternating row colouring the formula is different to the version I sent you. As for the megaformula chrisham, it gave me a headache trying to get it all working, so I will let Chandoo talk you through it.
Hi,
In cells I6 and I7, I understand that subtotal together with offset function returns an array of ones after which, the sumproduct function gives the desired result.
But I’m not able to figure out the reason for using an array in I8 to return the most expensive gift.
Can’t the formula be just
“=VLOOKUP(SUBTOTAL(4,$G$13:$G$62),$G$13:$J$62,4,0)”
Savithri, Cell I8 needs the array, if the formula was “=VLOOKUP(SUBTOTAL(4,$G$13:$G$62),$G$13:$J$62,4,0)” it would find the highest price from the filtered range (i.e. highest actual in filtered range is $50) BUT then return the first person with that actual, not looking in just the filtered range (so first person on the list with a $50 actual.)
To see what I mean, change the formula, then change all the actuals to $50 then filter for baby, it lists the first name on the list.
But a good question 🙂
Thank you. I now realise that the array is used to get the ‘filtered range’ instead of the entire range, as table array for look up value.
[...] Download This Template [...]
this looks like an awesome excel sheet!! is there anyway i can get it emailed to me unprotected? for some reason, i am unable to download it 🙁 help!!
Hi I also can not download to a mac as the sheet is protected any help would be great
[...] to send her a pricey present. Rather, send a card with a picture of your child. Here’s a cool Excel sheet that will help you estimate your budget per person and let you track [...]
[...] husband and I pour/poor over the Christmas spreadsheet (yes, I do know how dorky that sounds, but we’re not the only ones!), figuring out who should give what to whom. We live at a distance from most of our family, so it [...]