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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

An Internet service provider requires its customer to select a password consisting of four letters followed by three digits. Find how many such passwords are possible in each of the following cases:

(a) Repetition of letters and digits is allowed.
(b) Repetition of letters and digits is not allowed.

To determine

(a)

To find:

The number of passwords which can be created when repetition of letters and digits is allowed.

Explanation

Approach:

The Fundamental counting principle states that “For any number of events E1,E2,.....,En occurs in n1,n2,....,nn number of ways, then the whole event can occur in n1×n2×....×nn ways.”

The number of ways in which the password can be created is given by,

Numberofways=n1×n2×n3×n4×n5×n6×n7 ...(1)

Given:

The password has first four units as letters and the next three units as digits. Repetition is of letters and digits are allowed.

Calculation:

Number of letters are 26 and number of digits are 10

To determine

(b)

To find:

The number of passwords which can be created when repetitions of letters and digits is not allowed.

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Chapter 14 Solutions

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