Who is asking: Student
I am doing an investigation about a game called triminoes (like dominoes). The game is played using triangular pieces of card. Each card has 3 numbers on it. I have to investigate the relationship between the number of trimino cards in a set and the largest number on the cards. I found;
= no. of trimino cards n = largest no.
I don't know how to get to this equation I think it has something to do with triangle numbers!
The use of triangular numbers in this problem is possible but there is a more direct way to come up with an expression for the number of trimino cards.
You can use Pascals identity that to simplify the expression above.
Note: This is clearly the expression that you are looking for since it agrees with
but I find it a little unusual. If triminoes are like dominoes and the numbers or markings are only on one side then I would think that the two triminoes shown here are different.
and yet in the development above they are counted as the same trimino.
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