A computer system uses passwords that have six characters, and each character is one of the 26 letters (a-z) or 10 integers (0-9). The first character has to be a letter. The passwords are not case sensitive. Q 1(a) Determine the proportion of passwords that (i) begin with a consonant (ii) end with an even number (0,2,4,6,8) (iii) begin with a consonant and end with an even number (iv) begin with a consonant or end with an even number or both Q 1(b) How many passwords contain 2 different letters each repeated 3 times? Q 1(c) How many passwords contain integers which add up to 8? Q 1(d) How many passwords contain any or all of the words “an” or “to” or “be”?

A computer system uses passwords that have six characters, and each character is one of the 26 letters (a-z) or 10 integers (0-9). The first character has to be a letter. The passwords are not case sensitive. Q 1(a) Determine the proportion of passwords that (i) begin with a consonant (ii) end with an even number (0,2,4,6,8) (iii) begin with a consonant and end with an even number (iv) begin with a consonant or end with an even number or both Q 1(b) How many passwords contain 2 different letters each repeated 3 times? Q 1(c) How many passwords contain integers which add up to 8? Q 1(d) How many passwords contain any or all of the words “an” or “to” or “be”?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Q 1(a)

Determine the proportion of passwords that

(i) begin with a consonant
(ii) end with an even number (0,2,4,6,8)
(iii) begin with a consonant and end with an even number
(iv) begin with a consonant or end with an even number or both

Q 1(b)

How many passwords contain 2 different letters each repeated 3 times?

Q 1(c)

How many passwords contain integers which add up to 8?

Q 1(d)

How many passwords contain any or all of the words “an” or “to” or “be”?

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