Crack the code 460 puzzle

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Crack the code 460 puzzle

Crack the code 460 puzzle

This lock has a 3-digit code.
Can you crack the code using only these hints?

4 6 0 - One number is correct and in the right place
4 9 2 - One number is correct but in the wrong place
0 8 4 - Two numbers are correct but in the wrong place
5 1 6 - Nothing is correct
5 6 8 - One number is correct but in the wrong place

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Answer :
820 is the code.

Explanation:
From 1 and 2, we know that 4 is not in the code.
From 3, we get that 0 and 8 are in the code.
So now from 1 we get that the 3rd digit of code is 0.
so from 3 we get that the 1st digit of code is 8.
so from 2 we get that 2 is correct and in wrong place and hence 2 is the 2nd digit of code.
So the 3-digit code is 8 2 0.
We dont require the last 2 statements to find the code.