>I'm also curious about the distribution of sequences on the cards. Are >only the numbers from 1 to 4 used, but with repeats allowed? (wait, >there are 35 of those -- and that includes some hard ones, like 1 1 1 >1). Or are larger number included? What was the basis for choosing >which sequences would go on the cards?
In response to Mr. Alper's question about the cards in the Numbers Challenge Game:
There are twenty-four cards, and each card has four numbers on it. Some examples of the cards: 1,2,3 & 4; 2,5,8 & 9; 2,3,7 & 8; 1,2,4 & 7. The numbers on each card can be manipulated to reach every target number between 1 and 24 (actually between 0 and 24). The four-number combinations on the cards were specifically chosen because they can reach 1 to 24. Not just any ol' four-number combination will do!
You can also play a similar game with a decimal or a fraction and three whole numbers. For example, use 2,3,6 and .5 to reach 1 to 24. Or use 1,3,6 and 2/3 to reach 1 to 24.
We're glad so many people have shown an interest in this educational tool. We will be happy to respond to anyone else who has questions about the concept.