How many dominoes are in a domino set?

56..How many dominoes are in a domino set?
If the highest scoring domino is 6-6, ranging down to 0-0, it is 28. See rows 1-7 of the table below. They come boxed in 4 rows of 7.



If it is 9-9, ranging down to 0-0, then it is 55 (I have such a set!) See rows 1-10 of the table below. They come boxed in 5 rows of 11.



Consider the following table, showing how the number of dominoes on a set increases, each time you make the highest double one more:



0-0

0-1 1-1

0-2 1-2 2-2

0-3 1-3 2-3 3-3

0-4 1-4 2-4 3-4 4-4

0-5 1-5 2-5 3-5 4-5 5-5

0-6 1-6 2-6 3-6 4-6 5-6 6-6

0-7 1-7 2-7 3-7 4-7 5-7 6-7 7-7

0-8 1-8 2-8 3-8 4-8 5-8 6-8 7-8 8-8

0-9 1-9 2-9 3-9 4-9 5-9 6-9 7-9 8-9 9-9



Plainly the number of dominoes in a set headed by 6-6 is 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28



And the number of dominoes in a set headed by 9-9 is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55



Beyond 9-9 it might be difficult to cram 10 or more dots on a standard-sized domino, but ...



in a set headed by 10-10 it would be 66 dominoes in the set

in a set headed by 11-11 it would be 78 dominoes in the set

in a set headed by 12-12 it would be 91 dominoes in the set

in a set headed by 13-13 it would be 105 dominoes in the set

in a set headed by 14-14 it would be 120 dominoes in the set

in a set headed by 15-15 it would be 136 dominoes in the set



At some point the game would get unwieldy and take too long to play!How many dominoes are in a domino set?
It depends on what your highest double is. They have a double fifteen set, and of course that will have more than the double six.