In this puzzle you are to determine a 3-digit number (no digit repeated) by making "educated guesses." After each guess, you will be given a clue about your guess. The clues:
bagels: no digit is correct
pico: one digit is correct but in the wrong position
fermi: one digit is correct and in the correct position
In the problem below, a number of guesses have been made with the clue for each guess shown to the right. From the given set of clues, determine the 3-digit number.
2 3 4 pico
5 6 7 pico
8 9 1 fermi
6 4 1 bagels
8 2 5 pico
? ? ?