A typical ID number in a college class consists of a four-digit number, such as 0119. When an ID number is randomly selected, what is the probability that no two of its digits are the same

Step-by-step explanation:

Given

Required

Determine the probability that no two digit is repeated

First, we need to determine the total possible number of pins (with repetition)

Each of the 4 ID digit can be selected from any of the 10 digits (0 - 9).

i.e.

i.e.

Next, we determine the total possible number of pins (without repetition)

Once a digit is selected from any of the 10 digits (0 - 9), it can no longer be repeated.

i.e.

i.e.

The probability is then calculated as:

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