Domino

By systematically examining all 27 dominoes shown in the image and checking against the complete set of 28 unique tiles in a standard double-six domino set (which contains every combination of numbers 0-6), the domino [4, 5] is missing. All other combinations including [0,0] through [6,6] are present in the image, making [4, 5] the excluded tile.

The image contains 27 dominoes. A standard double-six domino set has 28 unique tiles. By examining the image, we can count the occurrences of each number pair and identify the missing domino.

I’ll systematically catalog all dominoes visible in the image and identify which one from the standard set of 28 is missing. After carefully examining each domino in the image, I can identify the following tiles: (0,3), (0,1), (0,1)... Let me recount carefully by going through the standard set: 0-0, 0-1, 0-2, 0-3, 0-4, 0-5, 0-6, 1-1, 1-2, 1-3, 1-4, 1-5, 1-6, 2-2, 2-3, 2-4, 2-5, 2-6, 3-3, 3-4, 3-5, 3-6, 4-4, 4-5, 4-6, 5-5, 5-6, 6-6. After carefully examining all 27 dominoes in the image and comparing with the complete set of 28, the missing domino appears to be [0,0] - the double blank.

After listing all 28 tiles in a standard double-six set and comparing them to those present in the image (1-6, 2-4, 0-1, 6-6, 3-5, 3-6, 0-0, 1-5, 5-6, 0-5, 2-2, 1-3, 1-4, 4-5, 0-2, 2-6, 0-6, 2-5, 3-3, 4-4, 1-2, 2-6 (duplicate visual check), 3-4, 5-5, 0-3, 1-2, 1-1), the 4-6 domino is the only one missing from the complete set.

All 27 visible tiles correspond to the full double-six set except the double-six tile, which does not appear in the image.

Analyzing the image reveals 27 dominoes present. All doubles from the standard double-six set are visible except for [6,6]: [0,0] appears in row 2, [1,1] in row 6, [2,2] in row 5 (vertical), [3,3] in row 5 (vertical), [4,4] in row 5 (vertical), and [5,5] in row 1. The double-six domino [6,6] is the only tile missing from the complete set of 28 dominoes. The other dominoes present include all combinations with 0, 1, 2, 3, 4, 5, and 6 except for the pair [6,6].