So for double digits, the digits go from 1-24. At least one number from each card has to be a double digit number. All 4 numbers in a card can be double digit numbers. These are the standard rules for the double digits cards in the official 24 Game by Suntex. Under these rules, there are a total of 17,055 unique combinations of cards.
Of these 17,055, 10,212 are solvable.
Of these 10,212, there are 118 cards where the only solution FORCES you to use non-integer numbers (fractions, decimals). For example the set [2,4,10,10].
So there are a total of 10,094 solvable, integer-solutions-only cards.
Like all of Suntex's decks, the double digits deck has 192 puzzles (96 double-sided cards). Whereas for the single digits deck, which contained 192 of the 397 solvable-with-integers cards (48%), the double digits deck contains 192 of 10,094 solvable-with-integers cards (only 1.9%). So you can say the double digits deck is vastly more curated.
I created an online site where you can play with double digits here:
It contains all 10,094 solvable-with-integers cards, automatically sorted by difficulty. Difficulty is determined by how many solutions are possible with each card. The more solutions, the less difficult. The less solutions, the more difficult. There are 2,370 easy, 4,321 medium, and 3,403 hard.
If practicing for a tournament that has double digits, it's probably better to practice with the actual official double digits deck because the online version I created has so many more cards that will never show up in the tournament. But if you're like me and just want to play for a fun challenge, then this will provide a much vaster pool of them.
One interesting thing I learned today was that for standard single digit cards (1-9), there are only 495 unique combinations of cards.
Of those 495, only 404 are solvable.
But the really interesting thing is that of those 404 solvable cards, 7 of them are cards where the only solution FORCES you to use non-integer numbers like .4, ½, etc. One example is the card 1,3,4,6 where the only solution is:
3/4=.75
1-.75=.25
6/.25=24
These are the 7 cards:
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[1,3,4,6]
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[1,4,5,6]
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[1,5,5,5]
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[1,6,6,8]
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[3,3,7,7]
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[3,3,8,8]
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[4,4,7,7]
But you don't need to worry about that because the official 96-card (192 puzzles since they are double-sided) deck by Suntex for standard single-digits is screened so they don't contain any of the 7 forced non-integer cards. So in Suntex's deck, they only contain 192 of the 397 unique, solvable-with-integers cards (48%), less than half. I think it would be interesting if they released a deck that contains all of them. I wonder why they settled on such a low number. I guess they curated it so they removed a lot of really easy ones or repetitive ones.
There aren't a whole lot of 24 Game Youtube videos out there, but of those few, many of them seem to be from Pennsylvania. I wonder why.
If you're reading this, chances are maybe you're from that state too? I find it interesting because I grew up in Virginia and that's where I found out about this game. But I guess it's popular all around the US and the world too!
Hey everyone! I'm , a founding moderator of .
This is our new home for all things related to 24 Game, also known as Challenge 24, Math 24, or any other regional variant. We're excited to have you join us!
I was first introduced to this game as an elementary student in 3rd grade (2005-06) at my school in Virginia, and competed in and for my school in 4th, 5th and 6th grade. Our school called the game "Challenge 24" and we even had a Challenge 24 club!
Post anything 24 Game related! Whether it's your stories of competing, questions about the game, help with solutions, news articles about the game, etc.
