## The 3 digit number lock puzzle with 3 clues

Given three clues, each with a 3 digit code and hints on correct digits and their placements. Find the correct number lock code from the clues.

Find the 3 digit code from the three clues to unlock the number lock:

**Clue 1: Code 4 8 2 :** One digit right and in right position.

**Clue 2: Code 4 1 6 :** One digit right but wrongly placed.

**Clue 3: Code 2 0 4 :** Two digits right but wrongly placed.

### Solution to 3 digit number lock puzzle with 3 clues

First objective to solve a 3 digit number lock riddle with 3 clues:

- To eliminate as many as digits as possible from the set of possible 10 digits.

#### Step 1: Eliminate a digit by positional conflict

No clue alone eliminates any of the digits. So,

**More than one suitable clue together must be used.**- In the clues,
**a digit should appear in same position in each but with conflicting placement description.**

*This is the key to the puzzle.*

Such a pair of clues are **Clue 1 and Clue 2.**

**Clue 1: Code 4 8 2 :** One digit right and in right position.

**Clue 2: Code 4 1 6 :** One digit right but wrongly placed.

- Digit 4 cannot be in the 1st position in both clues and rightly placed in one and wrongly placed in the other.
**Digit 4 must wrong.**

*In which clue digit 4 appears again?*

Indeed, in Clue 3 digit 4 occurs and gives us two correct digits at one go.

**Clue 3: Code 204 :** Two digits right but wrongly placed.

- Digits 0 and 2 are the correct digits.

#### Step 2: Identify digit placements for solution of the number lock riddle

Turn back to Clue 1 where digit 2 appears.

**Clue 1: Code 4 8 2 :** One digit right and in right position.

- Correct digit 2 must be in the 3rd position in the code.

**Focus on Clue 3 again** to finalize the position of the correct digit 0.

**Clue 3: Code 204 :** Two digits right but wrongly placed.

3rd position already occupied by digit 2 and 2nd position is wrong for the other correct digit 0.

**Correct digit 0 must be in the 1st position in the code.**

**Analyze the Clue 2 again** as *digit 1 is in the only available middle position.*

**Clue 2: Code 4 1 6 :** One digit right but wrongly placed.

**Either digit 1 or digit 6 is the remaining 3rd correct digit** to occupy the 2nd position in the code.

Digit 1 is in the only free 2nd position and its placement description says, it is wrongly placed.

**Digit 1 must be the incorrect digit and digit 6 the correct.**- Digit 6 will occupy the 2nd position in the code.

Essentially, *digit 1 is blocked out of positions in the code.*

The **code to open the number lock is 0 6 2.**

#### Observation

Three clues to solve a 3 digit number lock code puzzle is the minimum. In this puzzle, the **three clues are sufficient for solution.**

But sometimes, to confuse, more clues not really needed, are included. **An example of the same number lock riddle but with two additional clues this time:**

Enjoy solving many more number lock puzzles. Click **here**.

### More puzzles to solve

#### Easy to hard brain teasers with systematic solutions

**Challenging brain teasers with solutions: Long list.**

This is our complete list of specially chosen brain teasers (with step by step solutions) **classified into categories** that can be browsed separately.