Breaking the Code

Logic Level 3

The door is locked with a 10-digit code, consisting of 10 distinct digits in the combination. The only way to get in is to press all the numbers correctly.

When you try \(1234567890\), the computer tells you that "only 4 numbers are in the right places."

When you try \(5402361987\), the computer still says that "only 4 numbers are in the right places."

Finally, when you try \(0279314658\), this time the computer says that "only 5 numbers are in the right places."

What is the right combination to this door lock?

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