Find the correct number lock code from the four clues, each with a 3 digit code and hints on correct digits and their placements. Apply logic analysis.

## The 3 digit number lock puzzle with 4 clues including 368

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

**Clue 1: Code 3 6 8 :** One digit right and in right position.

**Clue 2: Code 3 8 7 :** Nothing is correct.

**Clue 3: Code 2 7 6 :** One digit right but wrongly placed.

**Clue 4: Code 4 7 1 :** Two digits right but wrongly placed.

### Solution to 3 digit number lock puzzle with 4 clues including 368

#### Step 1: Identify the first right digit

From Clue 1 and Clue 2, digit 6 is correct.

**Clue 1: Code 3 6 8 :** One digit right and in right position.

**Clue 2: Code 3 8 7 :** Nothing is correct.

From Clue 2, digits 3 and 8 are wrong and also appear in Clue 1.

- Digit 6 is the single correct digit in Clue 1 and takes up the 2nd position.

#### Step 2: Identify two more incorrect digits

From Clue 3 identify digits 2 and 7 as incorrect.

**Clue 3: Code 2 7 6 :** One digit right but wrongly placed.

- As digit 6 is already identified as correct, the rest, digits 2 and 7 must be incorrect.

#### Identify the rest of two correct digits and crack the code

From Clue 4 identify digits 1 and 4 as correct.

**Clue 4: Code 4 7 1 :** Two digits right but wrongly placed.

- With digit 7 already identified as wrong, the rest,
**digits 1 and 4 must be correct**but both in wrong positions. - As second position is already taken up by digit 6, they must interchange positions.
**Digit 1 takes first position and digit 4 third.**

**Solution:** Code to open the lock is **1 6 4.**

*Verify the code against each of the clues.*

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