A password is formed by selecting three letters from the alphabet, followed by one number from 0 to 9. If
repetition is not allowed, how many potential passwords can be created?
A. 156,000
B.175,760
C.140,400
D.85

Answer :

helpmenow29
C is the correct answer !!

The number of potential passwords that can be created in this scenario is; C: 140400

How to solve propbability Combinations?

There are 26 alphabets in english. Now, if there are no repetitions, then;

Number of ways of selecting first letter = 26

Number of ways of selecting second letter = 25

Number of ways of selecting third letter = 24

Thus;

Number of ways of selecting three letters from the alphabet if there is no repetition is; P(3 letters) = 26 * 25 * 24 = 15600

Number of ways of selecting 1 out of the 9 numbers is = 9

Thus;

Potential passwords that can be created = 15600 * 9 = 140400

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