Guess the 4-digit combination. An X stands for a correct digit in its correct place in the combination and an O stands for a correct digit out of its corect order. 8256 OX Two of the four digits 8,2,5,6 appear in the final combination(one in the position given(for example 6 might be the last digit of the correct combination)and one in a different position(5 might be the first digit of the combination. The placemnet of the symbols does not correspond to any particular place in the combination. Using the four graded guesses together, can you deduce the correct combination?
A. 8256 OX A. 5462 OX
B. 5719 O B. 1879 OO
C. 4927 XX C. 3617 OO
D. 4986 OO D. 1468 O
E. 6749 O
a. 2196 O A. 1592 OX
b. 6873 OX B. 3468 X
c. 4589 X C. 5872 OX
d. 4372 OX D. 4179 XX
This is flawed.
4927 gives us xx, meaning 2 of those numbers are in the right place.
It cannot be 4 or 9 because 4986 says oo
It cannot be 2 and 7 because 5872 gives us ox
Double check it and retype, if needed.
To solve this problem, we can go through each of the given options one by one and analyze the information provided.
Starting with the first graded guess:
A. 8256 OX
From the given information, we know that one of the digits (8, 2, 5, or 6) is in the correct position, and one is in a different position. In this guess, the digit 2 is in the correct position (since there is an 'X'), but we cannot determine which digit is in a different position. So, we will mark this guess as a possibility without further information.
Next, we move on to the second graded guess:
B. 5719 O
None of the given digits (8, 2, 5, or 6) appear in this guess. Therefore, we can eliminate this option.
Moving on to the third graded guess:
C. 4927 XX
In this guess, two digits (9 and 7) are in the correct position and marked with 'X'. However, we know that only one digit can be in the correct position, so this guess is not valid. We can eliminate this option as well.
Next is the fourth graded guess:
D. 4986 OO
In this guess, two digits (8 and 6) are marked with 'O', indicating that they are correct but in the wrong position. However, there is no information about the remaining two digits (2 and 5), so we cannot determine their status. We will keep this guess as a possibility.
Lastly, we analyze the fifth graded guess:
E. 6749 O
In this guess, one digit (9) is marked with 'O', indicating that it is correct but in the wrong position. However, there is no information about the other three digits (6, 7, and 4), so we cannot determine their status. We will keep this guess as a possibility.
Now, let's review the remaining possibilities:
D. 4986 OO
E. 6749 O
Comparing these two options, we see that the digits 9 and 6 appear in both guesses. Therefore, they are more likely to be part of the correct combination.
Considering the information from the original guess (8256 OX), where one digit is in the correct position and another is not, we can conclude that the correct combination is likely to have the digits 6 and 9, with one of them in the correct position.
Thus, the correct combination is 6948.