Meet the challenge and crack the code to open the number lock. More challenge - solve the hard 5 digit number lock puzzle using least number of clues.

## Hard 5 digit number lock puzzle with 82619 in clues: Crack the Code

Find the 5 digit code from the clues to open the number lock:

**Clue 1: Code 8 2 6 1 9 :** Two digits correct both wrongly placed.

**Clue 2: Code 4 7 5 3 0 :** Three digits correct but in wrong place.

**Clue 3: Code 8 6 3 0 2 :** Two digits correct, one rightly placed.

**Clue 4: Code 9 1 7 0 4 :** Two digits correct and in right place.

**Clue 5: Code 7 0 6 2 9 :** One digit right and in its place.

Your time to solve: 30 minutes.

### Solution to the hard number lock puzzle with 82619 in clues

#### Identify three incorrect digits for the first breakthrough

From Clues 4 and 5, digits 0, 7 and 9 are incorrect:

**Clue 4: Code 9 1 7 0 4 :** Two digits correct and in right place.

**Clue 5: Code 7 0 6 2 9 :** One digit right and in its place.

- If digit 9 were correct in Clue 4, its position in Clue 5 would have been 1st as the only correct digit. As it is not so,
**digit 9 is incorrect.** - By the same logic,
**digits 7 and 0 are incorrect as well.** - From Clue 4,
**digits 1 and 4 are correct,**taking 2nd and 5th place in the correct code. - From Clue 5,
**one of the two digits 2 or 6 is correct**in its place.

#### Identify three correct digits at one go

With digits 0 and 7 identified incorrect, from Clue 2, digits 4, 5, 3 must be correct.

**Clue 2: Code 4 7 5 3 0 :** Three digits correct but in wrong place.

- Out of the five, 0 and 7 are wrong. Remaining
**digits 4, 5 and 3 must be right.**

#### Breakthrough in fixing the digit in 3rd position

From Clue 3, digit 3 must be in 3rd position.

**Clue 3: Code 8 6 3 0 2 :** Two digits correct, one rightly placed.

- Digit 3 is correct and one of the digits 2 or 6 is correct.
- As both positions of digits 6 and 2, positions 2nd and 5th, are already occupied by digits 1 and 4, the correct one among these two must be the digit in wrong position.
**Digit 3 must then be the other correct digit in right position of 3rd place.**

**Correct code** is of the **form: ? 1 3 ? 4.**

#### Identify the fifth correct digit and discover the correct code

From Clue 5, the fifth correct digit is 2.

**Clue 5: Code 7 0 6 2 9 :** One digit right and in its place.

- Either 2 or 6 is correct and is in its place. Between the 3rd and 4th places in the correct code, only 4th place is available.
- Digit 2 must then be the fifth correct digit and is in 4th place.
- Already identified correct digit 5 takes the 1st place.

**Solution:** **Code** to open the number lock is **5 1 3 2 4.**

*Verify the code against the five clues.*

*The Clue 1 need not be used at all.* *The solution uses least number of clues.*

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