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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger
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Solved: A computer system uses passwords that are exactly

Chapter 2, Problem 225SE

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QUESTION:

Problem 225SE

A computer system uses passwords that are exactly seven characters, and each character is one of the 26 letters (a–z) or 10 integers (0–9). Uppercase letters are not used.

(a) How many passwords are possible?

(b) If a password consists of exactly 6 letters and 1 number, how many passwords are possible?

(c) If a password consists of 5 letters followed by 2 numbers, how many passwords are possible?

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QUESTION:

Problem 225SE

A computer system uses passwords that are exactly seven characters, and each character is one of the 26 letters (a–z) or 10 integers (0–9). Uppercase letters are not used.

(a) How many passwords are possible?

(b) If a password consists of exactly 6 letters and 1 number, how many passwords are possible?

(c) If a password consists of 5 letters followed by 2 numbers, how many passwords are possible?

ANSWER:

Solution

Step 1 of 3

Given that the computer having a password with 7 characters

The password can have the letters (a-z) and 10 integers(0-9)

Then the no.of characters=26+10=36

a) we have to find how many passwords are available

The no.of available passwords =(36)7   

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