Question

A briefcase has a three-digit lock code that does not include zero as a digit.

Answer 1

The correct answer is:

A. 24 out of 504.

The probability that the lock code consists of all even digits is 24 out of 504, if the same digit is not used more than once in the lock code.

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Answer 2

First it can be a 2,4,6,8. Four numbers.
Then one is removed, leaving three numbers.
Then one is removed, leaving two numbers.
Possibilities for that to happen: 4*3*2 = 24.
Total amount of possibilities: 9*8*7 = 504.
So the answer is A: 24 out of 504.