Domino

Reasoning

The excluded domino is number 3 and 2

Reasoning

A standard double-six domino set has 28 unique tiles, covering all pairs from [0, 0] to [6, 6]. By listing all 27 visible tiles, it is apparent that the [0, 4] (or [4, 0]) domino is missing: Present tiles (grouped by the highest number): 6-group: [6, 6], [6, 5], [6, 4], [6, 3], [6, 2], [6, 1], [6, 0] (7 in total) 5-group: [5, 5], [5, 4], [5, 3], [5, 2], [5, 1], [5, 0] (6 in total) 4-group: [4, 4], [4, 3], [4, 2], [4, 1] (4 in total - missing [4, 0]) 3-group: [3, 3], [3, 2], [3, 1], [3, 0] (4 in total) 2-group: [2, 2], [2, 1], [2, 0] (3 in total) 1-group: [1, 1], [1, 0] (2 in total) 0-group: [0, 0] (1 in total) Total tiles: 7 + 6 + 4 + 4 + 3 + 2 + 1 = 27 The missing tile is [4, 0].

Reasoning

By systematically checking all 28 possible dominoes in a standard double-six set (all pairs from 0-6), I identified that the [0, 4] domino is missing from the 27 dominoes shown in the image. All other dominoes including [0,0], [0,1], [0,2], [0,3], [0,5], [0,6] and all other combinations are present.

Reasoning

I counted the occurrences of each pip value across the 27 tiles and found that every number from 0 to 5 appears the expected number of times for a full double-six set, but the 6s are short by two ends — indicating the double-six tile (6,6) is missing.

Reasoning

After carefully examining the 27 dominoes in the image and comparing them to the standard double-six set of 28 unique tiles, the [4,5] domino is the only one absent.

Reasoning

The standard double-six domino set has 28 tiles. By counting the occurrences of each number (0-6) across all tiles, the count for number 3 is 6 in the given image, which is 2 less than the expected 8 (since each number should appear 8 times in the full set: 2 in the double tile (3,3) and 1 in each of the other 6 tiles containing 3). This indicates the double tile [3,3] is missing.