   Chapter 14.CR, Problem 2E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

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

# 1-24 ■ Counting These exercises involve counting.Three-Digit Numbers How many three-digit numbers can be formed by using the digits 1 ,   2 ,   3 ,   4 ,   5 , and 6 if repetition of digits (a) is allowed? (b) is not allowed?

To determine

(a)

To find:

The number of three-digit number that can be formed by using the digits 1,2,3,4,5, and 6 if repetition of digits is allowed.

Explanation

Given:

The repetition is allowed.

Approach:

The counting principle is,

If E1,E2,....,Ek are events occur in order and if event Ei can occur in ni ways (i=1,2,...,k) then the sequence of events can occur in order in n1×n2××nk ways.

Calculation:

There are total three choice because three digit number need to find

To determine

(b)

To find:

The number of three-digit number that can be formed by using the digits 1,2,3,4,5, and 6 if repetition of digits is not allowed.

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