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___ solve the 3 digit combination using the clues below
614 One digit is right but in the wrong place.
682 One digit is right and in the right place.
738 All digits are wrong.
206 Two digits are right, but both are in the wrong place.
380 One digit is right but in the wrong place.

Respuesta :

Surya6Dev

Answer:846

Step-by-step explanation:

From clue 3, we know that 7, 3, and 8 are not part of the combination. From clue 2, we know that 8 is in the correct position, so the combination must be 8.

From clues 4 and 5, we know that 0 is in the combination but not in the correct position. It also means that the first digit cannot be 0. So, the second digit must be 0.

From clue 1, we know that either 6 or 4 is in the combination but not in the correct position. But from clue 3, we know that 8 is in the correct position, so 4 cannot be part of the combination. Therefore, 6 must be the last digit.

Thus, the combination is 8_6.

From clue 1, we know that 4 cannot be in the last position, so it must be in the first position. So, the combination is 846.

Therefore, the solution to the 3-digit combination is 846.

rvkacademic

Answer:

0 4 2

Step-by-step explanation:

Let's find out which of the digits cannot be in the combination

  • We are told 7 3 8 has all digits wrong. So 7 or 3 or 8 cannot appear in the key
  • Let's look at 3 8 0 which has one digit right. Since neither 3 or 8, we can ignore these two digits and state that 0 is the digit in the wrong place
  • Therefore 0 can be either the first or second digit giving
    0        ----    ----
            or
    ----     0       ----

  • 2 0 6 - two digits are right but in the wrong place; we know that 0 is one of the right digits and since it is in the second place and we are told it is in the wrong place, 0 has to be in the first place

                             0        ----    ----

  • 6 8 2 - one digit is right and in the right place
    6 cannot be the correct digit since 0 occupies that space, 8 is a no-no so the right digit in the right place is 2 in the third place and we get

                             0        ----      2

  • This leaves only one spot, the middle spot to be filled
  • 6 1 4 --> one digit is right but in the wrong place

    We already know that 6 is not right, and 1 and 4 are our prime suspects. Looking at 4, we see that it is in the place of digit 2. So, now know that 4 is wrongly placed, and according to this clue, one digit is right, but it is at the wrong place. Which is why 4 goes to second place.

  • Thus the code is

    0 4 2

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