Three Digit Bagels Puzzles

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Three Digit Bagels Puzzles
In the game of Bagels you are to determine a 3-digit number (no
digit repeated) by taking "educated guesses." After each guess
you are given a clue. 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 puzzle below, a number of guesses have been made in a
bagels game with the clue for each guess shown. From the
given set of clues, determine the 3-digit number. If there is more
than one solution, find them all.
Sample Bagels Puzzle 1
Guess 1
6 7 4
pico
Guess 2
0 3 2
pico
Guess 3
5 1 9
fermi
Guess 4
3 4 9
bagels
Guess 5
5 6 0
pico
Answer:
? ? ?

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