Naked Triple

A Naked Triple — also written Naked Triplet — is three cells in one row, column, or box whose combined candidate set contains exactly three digits. Those cells reserve the three digits, allowing the digits to be removed from other cells in the house.

What is a Naked Triplet?

Take the union of the candidates in three selected cells. It must contain exactly three distinct digits; the individual cells can contain two or three of them and need not have identical notes.

Walkthrough example

A walkthrough of one Naked Triple: three cells whose three-candidate union locks all three digits inside one house.

Step 1

Consider this block.

Sudoku grid showing step 1 of the Naked Triple walkthrough, with the relevant candidates and cells highlighted.

Step 2

The highlighted cells inside it can only contain values 2, 6 and 7.

Sudoku grid showing step 2 of the Naked Triple walkthrough, with the relevant candidates and cells highlighted.

Step 3

This means that these cells will definitely contain 2, 6 and 7 in some order, so we can remove these notes from all other cells in this block.

Sudoku grid after the Naked Triple deduction, with the justified placement or eliminations highlighted.

Three cells with a three-digit candidate union consume all three digits between them — that confinement is what justifies removing those digits from every other cell in the same house. You can start a free Sudoku game to practise spotting it on real puzzles.

How to spot it

Find three cells in one house whose candidate union has size three. Then check the other cells in that house for those digits.

The logic

Three cells require three different values and can draw only from a three-digit union. They occupy all three digits between them, so those digits can be removed from every other cell in the house.