Kakuro

Kakuro Sum 17 — All 2-Cell Combinations

Updated June 10, 2026  ·  2 min read

A 2-cell Kakuro run with a clue of 17 has 1 valid combination. Each cell must contain a unique digit from 1 to 9, no repeats.

Forced combination. A 2-cell run summing to 17 can only use digits 8, 9. Both values are fixed — only their order within the run remains.

Valid combinations

Digits (any order)Sum
8 + 9= 17

What you know immediately

The digits 8, 9 appear in every valid combination — certain in this run regardless of which combination applies.

Digits 1, 2, 3, 4, 5, 6, 7 never appear in any valid combination — eliminate them immediately from all intersecting clues.

Why this clue is special

Seventeen over two cells is the highest 2-cell clue that exists (18 would need 9+9) and it's forced to 8 and 9. Spot the pairing with 16-in-two: a shared cell between them is always the 9. And if a 17-in-two crosses a low run like 6-in-three or 7-in-three, the position is contradictory — neither 8 nor 9 belongs to those low combinations — which is a quick way to catch a misplaced digit earlier in your solve.

Solving with this clue

  1. Cross out combinations made impossible by digits already placed in the run
  2. Find digits present in all remaining combinations — those are certain placements
  3. Find digits absent from all remaining combinations — remove from intersecting clues
  4. When one combination remains, all digits in the run are determined
Use intersections: A shared cell must satisfy both its row clue and column clue. Digits that don't appear in valid combinations for either clue are eliminated. This cross-elimination often reduces options to one quickly.

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