Question

A certain model car has a keypad with 5 numbers on the door. To open the door, 5 numbers must be entered in the correct

Answer 1

Answer:  A. $\dfrac{1}{120}$

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         [n!=n x (n-1) x (n-2)x ... x 1]

=120

The probability that someone guesses the correct code = $\dfrac{\text{Number of correct codes}}{\text{Total possible codes}}$

$=\dfrac{1}{120}$

Hence, the correct option is A.