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A 5-digit PIN number is selected. What it the probability that there are no repeated digits

 Dec 10, 2021
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The first digit can be any of the ten digits:                              10 / 10

The second digit can be any digit except of the first number:  9 / 10

The third digit can be any digit except either of the first two:    8 / 10

The fourth digit can be any digit not previously chosen:           7 / 10

The last digit can be any digit except those already chosen:    6 / 10

 

The final probability is the result of multiplying these probabilities: 

                       (10 / 10)  x  (9 / 10)  x  (8 / 10)  x  (7 / 10)  x  (6 / 10)  =  

 Dec 10, 2021

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