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27 August, 14:29

964 two correct wrong place

147 one correct wrong place

189 one correct right place

286 one correct wrong place

523 all wrong

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Answers (1)
  1. 27 August, 15:43
    0
    679

    Step-by-step explanation:

    The goal of this exercise is to find a three digit number given five statements.

    1 - We can conclude that two digits out of 964 are correct but in the wrong place.

    2 - One digit out of 147 is correct, but in the wrong place

    3 - One digit out of 189 is correct and in the right place. Since 1 is on the same place in 147 and 189, 1 is not the correct digit. The correct digit is either 8 or 9.

    4 - One digit out of 286 is correct, but in the wrong place. Since 8 is on the same place in 189 and 286, 8 is not the correct digit. We can then conclude that 9 is correct (statement 3) and in the right place (third) and that either 2 or 6 are correct but in the wrong place.

    5 - 523 are all wrong. We can then conclude that 6 is correct and that is not in the third or second place, which leaves it in the first place.

    If 1 and 4 are incorrect, from the second statement, we infer that 7 is the remaining correct digit at the second place.

    Therefore the number is 679
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