492 one digit wrong place
561 one digit right in right place
209 all digits wrong
451 two digits right, both in the wrong place
843 one digit right in wrong place
Answers
Given:
492 one digit wrong place
561 one digit right in right place
209 all digits wrong
451 two digits right, both in the wrong place
843 one digit right in wrong place
To find:
The code.
Solution:
Hint 1: 4-9-2 one digit is right but on the wrong place.
Hint 2: 5-6-1 one digit is right and is on the right place.
Hint 3: 2-0-9 all digits are wrong
As all digits are wrong. So, remove or eliminate 2, 0 and 9 from all cases.
Now, from Hint (1) and Hint (3)
4 is the right digit. But it is places at wrong position.
Hint 4: 4-5-1 two digits are right but both on the wrong place
Hint 5: 8-4-3 one digit is right but on the wrong place
From Hint (1), Hint (4) and Hint (5)
We can say that 4 is at the third position.
Also, from Hint (2) and Hint (4)
5 is at the first position.
As, left one is 7, so 7 is the third right digit.
Therefore, the correct code is 5-7-4
Answer:
574
Step-by-step explanation:
The full first clue is suppose to say “ 492- one digit it right but it’s in the wrong place”
That means the combination has either a 4, 9, or 2. From this clue, it also implies that the combination can only have one of these numbers and that it’s in the wrong place.
Let’s skip clue 2 and go to clue 3. “209- all of the numbers are wrong”. This means that the combination CANNOT have a 2,0 or a 9. If that is true, looking back at the first clue, it means that the combination HAS to have a 4 since it can’t be 9 or 2. We also know that 4 CANNOT be in the first slot since clue one says the correct number is in the wrong spot.
Let’s go to the last clue before looking back at the others. “843- one digit is right but in the wrong place.” This clue gives us a lot of information. We know from the other two clues that 4 is definitely in the combination. Since we know 4 is a right number and the clue says that the right number is in the wrong place, that means the only place 4 can be in is slot three because it was in the wrong slot in two of the clues.
This clue also tells us that only ONE of the numbers are right. That means 8 and 3 cannot be in the combination.
Let’s summarize what we know so far:
•2,0,9,3 and 8 cannot be in the combination
• 4 cannot be in slot one or slot two which means 4 has to be in slot three.
Next let’s look at clue number four. “451- two digits are right but both are in the wrong place”. Since we already know that 4 is a right digit and only two numbers in this combination can be right digits, that means 5 OR 1 is a correct digit but not both. We also know that it is in the wrong place. So IF 5 is a correct digit, it cannot be in slot two. If 1 is a correct digit, it cannot be in slot three.
Now it’s time to look at clue number two. “561- one is the right digit and it’s in the right place” If we compare this clue to the last clue, we realize that both 5 and 1 are in this clue again. This time, only one digit is right and in the right place. We know from the last clue that if 1 is right, it can’t be in slot three. Since this clue says that the right number is in the right place and 1 is still in slot three, that means 1 is not a right number and we can rule out 1. This also means that 5 IS a right since the last clue states that two of the three numbers are right numbers. Since 5 is the right number, 5 has to be in slot one. This also means that the combination cannot have 6 since only one number in this clue can be the right number.
So, lets summarize again.
We know:
•2,0,9,3,8,1 or 6 cannot be in the combination
• 4 has to be in slot three.
•5 has to be in slot one
So it looks like this 5_4
So how do we figure out what goes in slot two? Well, let’s look at what we know. If we assume that the numbers can only be used once, we know that 0,1,2,3,6,8, and 9 cannot be in the combination due to the clues. We also know that 4 and 5 are already in slots one and three. The only number we have left is 7.
That means the combination has to be 574.