To open a combination lock, you must dial a 4-digit combination code,
using the digits 0−9. You dial four random digits that have no repetition.
What is the probability of opening the lock immediately (if you know
the combination has no repeating digits)?

There are 10 possible digits for the first digit, 9 possible digits for the second, 8 for the third, and 7 for the fourth, as digits can't repeat. Thus, there are 10 x 9 x 8 x 7 = 5040 combinations. The probability of getting it on the first try is 1/5040.

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To open a combination lock, you must dial a 4-digit combination code, using the digits 0−9. You dial four random digits that have no repetition. What is the probability of opening the lock immediately (if you know the combination has no repeating digits)?

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To open a combination lock, you must dial a 4-digit combination code,
using the digits 0−9. You dial four random digits that have no repetition.
What is the probability of opening the lock immediately (if you know
the combination has no repeating digits)?