   Chapter 14.CR, Problem 20E ### 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.19-22 ■ Anagrams An anagram of a word is a permutation of the letters of that word. For example, anagrams of the word triangle include griantle, integral, and tenalgir. Find the number of different anagrams of the given word.BLOB

To determine

To find:

The number of different anagrams of the word “BLOB”.

Explanation

Approach:

A permutation of a set of objects is an ordering of these objects. If the set has n objects, then the number of ways of ordering the r-element subsets of the set is denoted P(n,r) and is called the number of permutations of n objects taken r at a time.

P(n,r)=n!(nr)! ……(1)

Calculation:

Consider the given word.

BLOB

The number of letters are 4 and number of letters to be ordered are 4.

Substitute 4 for n and 4 for r in equation (1)

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