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Hidden Triplets

It's getting harder! But Hidden Triplets are still a mid-difficulty higher method.

Do you remember the Naked Triplets ? As you have already noticed, the candidate lists for the fields had a certain variety. Hidden Triplets are more difficult because they are " hidden" among other candidates. As a result, the candidate list for the fields involved includes random additional candidates.
In practice, you will most likely see the Hidden Triplet - like all methods in this family, starting with the Hidden One - by noting that 3 candidates do not occur in the other fields of the logical unit.

A Hidden Triplet is present when you can find a group of 3 candidates that can only occur in 3 fields of a logical unit (row/column/block). Each of the fields must contain at least 2 candidates of the group and may also have random additional candidates.
In this case, you can eliminate all candidates from the 3 fields of the group that do not belong to the group.

Reasoning:
Since the 3 candidates in the group occur only in the 3 fields of the Triplet, each of these fields must ultimately contain one of these candidates. You still don't know which candidate will ultimately go in which field, but it is clear that every candidate for these fields that does not belong to the group can be eliminated.

The marked fields show a Hidden Triplet with the candidates 1,4,7 - as seen from the block as a logical unit.

As a consequence, the 5 can be deleted from the pink field. It does not belong to the group.

The Hidden Triplet is the first "normal" member of the family of Naked groups.

Sudoku example hidden Triplet

see also: Generalization: Hidden groups

 

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