Question

A password consists of three letters followed by a two-digit number. (a) How many passwords are possible if there are no restrictions? 1757600 (b) How many passwords are possible if none of the letters or digits can be repeated? (c) What is the probability of guessing the password in one trial if there are no restrictions? O A. 0.0000007123 O B. 0.0000005690 O C. 0.2 O D. 0.798816568
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Answer #1

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3 letters followed by 2 digit number:

a. If there are no restrictions then the number of possible combinations is :

26*26*26 *10*10

as there are 26 digits in total, and 10 numbers in total

= 1757600

b. P(guessing password in 1 trial if there are no restrictions)
= 1/1757600

= 0.0000005690

Answer is B.

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