A thief walks up to an electronic lock with a 10-digit keypad and he notices that all but three of the keys are covered in dust while the 2, 4, 6, and 8 keys show considerable wear. He thus can safely assume that the 4-digit code that opens the door must be made up of these numbers in some order. What is the worst case number of combinations he must now test to try to open this lock using a
brute-force attack?
What will be an ideal response?
There are 4! = 24 different orderings (that is, permutations) of four different
numbers. So, in the worst case, the thief would only have to test 24 codes.
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