Crack the code 2 9 1 puzzle

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Crack the code 2 9 1 puzzle

Crack the code 291 puzzle

Can you crack the code ?

2 9 1 - One number is correct and well placed
2 4 5 - One number is correct but wrong place
4 6 3 - Two numbers are correct but wrong places
5 7 8 - Nothing is correct
5 6 9 - One number is correct but wrong place

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Answer : 3 9 4

Explanation :
from 1 and 2 we get that 2 is not in the code.
from 2 and 4 we get that 4 is in the code and not in middle position.
from 3 we get that 4 is in the last place of the code.
now from 1 we get that 9 is in the code and the center number of the code.
so from 5 we get that 6 is not in the code and
hence from 3 we get that 3 is in the code and has to be in the 1st place.
Hence the code is 3 9 4