Answer: Â A. [tex]\dfrac{1}{120}[/tex]
Step-by-step explanation:
Total digits on keypad = 5
According to permutation,
If repetition of digits is not allowed then the number of 5-digits passwords can be formed = 5!
= 5 x 4 x 3 x 2 x 1 Â Â Â Â [n!=n x (n-1) x (n-2)x ... x 1]
=120
The probability that someone guesses the correct code = [tex]\dfrac{\text{Number of correct codes}}{\text{Total possible codes}}[/tex]
[tex]=\dfrac{1}{120}[/tex]
Hence, the correct option is A.
