
EBK NATURE OF MATHEMATICS
13th Edition
ISBN: 9781305855588
Author: SMITH
Publisher: CENGAGE CO
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Question
Chapter 12.CR, Problem 1CR
To determine
To simplify:
The value of the expression
Expert Solution & Answer

Answer to Problem 1CR
Solution:
Explanation of Solution
Definition:
For any counting number n, the factorial of n is defined as,
Calculation:
Consider the provided expression
Use the formula for factorial to evaluate the factorials separately and find the difference. So,
Thus, the simplified value of the provided expression is
Final statement:
The expression
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Chapter 12 Solutions
EBK NATURE OF MATHEMATICS
Ch. 12.1 - IN YOUR OWN WORDS What is a permutation? What is...Ch. 12.1 - Prob. 2PSCh. 12.1 - Prob. 3PSCh. 12.1 - Prob. 4PSCh. 12.1 - Evaluate each expression in Problems 3-32. 9P2Ch. 12.1 - Evaluate each expression in Problems 3-32. 9P3Ch. 12.1 - Evaluate each expression in Problems 3-32. 9P4Ch. 12.1 - Prob. 8PSCh. 12.1 - Evaluate each expression in Problems 3-32. 52P3Ch. 12.1 - Evaluate each expression in Problems 3-32. 4P4
Ch. 12.1 - Prob. 11PSCh. 12.1 - Evaluate each expression in Problems 3-32. 5P3Ch. 12.1 - Prob. 13PSCh. 12.1 - Prob. 14PSCh. 12.1 - Evaluate each expression in Problems 3-32. 92P0Ch. 12.1 - Prob. 16PSCh. 12.1 - Prob. 17PSCh. 12.1 - Evaluate each expression in Problems 3-32. 16P3Ch. 12.1 - Prob. 19PSCh. 12.1 - Prob. 20PSCh. 12.1 - Prob. 21PSCh. 12.1 - Prob. 22PSCh. 12.1 - Prob. 23PSCh. 12.1 - Evaluate each expression in Problems 3-32. 11P4Ch. 12.1 - Evaluate each expression in Problems 3-32. nP4Ch. 12.1 - Prob. 26PSCh. 12.1 - Prob. 27PSCh. 12.1 - Prob. 28PSCh. 12.1 - Evaluate each expression in Problems 3-32. 5PrCh. 12.1 - Evaluate each expression in Problems 3-32. 6PtCh. 12.1 - Prob. 31PSCh. 12.1 - Prob. 32PSCh. 12.1 - Prob. 33PSCh. 12.1 - Prob. 34PSCh. 12.1 - How many permutations are there of the words given...Ch. 12.1 - Prob. 36PSCh. 12.1 - Prob. 37PSCh. 12.1 - How many permutations are there of the words given...Ch. 12.1 - How many permutations are there of the words given...Ch. 12.1 - Prob. 40PSCh. 12.1 - Prob. 41PSCh. 12.1 - Prob. 42PSCh. 12.1 - Prob. 43PSCh. 12.1 - Prob. 44PSCh. 12.1 - Prob. 45PSCh. 12.1 - In how many ways can you select and read three...Ch. 12.1 - Suppose you have a set of cups and saucers which...Ch. 12.1 - Most ATMs require that you enter a four-digit...Ch. 12.1 - Some automobiles have five-button locks. To gain...Ch. 12.1 - A museum wishes to display eight paintings next to...Ch. 12.1 - Prob. 51PSCh. 12.1 - The Pick 3 at horse racetracks requires that a...Ch. 12.1 - Prob. 53PSCh. 12.1 - Prob. 54PSCh. 12.1 - My favourite Moroccan restaurant offers the...Ch. 12.1 - A world-famous prix fixe menu includes the...Ch. 12.1 - Suppose you flip a coin and keep a record of the...Ch. 12.1 - Prob. 58PSCh. 12.1 - Prob. 59PSCh. 12.1 - How long would it take to dial every possible...Ch. 12.2 - IN YOUR OWN WORDS What is a combination? What is...Ch. 12.2 - Prob. 2PSCh. 12.2 - Prob. 3PSCh. 12.2 - Evaluate each expression in Problems 332. (29)Ch. 12.2 - Evaluate each expression in Problems 332. (39)Ch. 12.2 - Evaluate each expression in Problems 332. (49)Ch. 12.2 - Evaluate each expression in Problems 332. (09)Ch. 12.2 - Prob. 8PSCh. 12.2 - Prob. 9PSCh. 12.2 - Prob. 10PSCh. 12.2 - Evaluate each expression in Problems 332. (44)Ch. 12.2 - Prob. 12PSCh. 12.2 - Prob. 13PSCh. 12.2 - Evaluate each expression in Problems 332. (35)Ch. 12.2 - Prob. 15PSCh. 12.2 - Prob. 16PSCh. 12.2 - Evaluate each expression in Problems 332. (4n)Ch. 12.2 - Evaluate each expression in Problems 332. Pk4Ch. 12.2 - Evaluate each expression in Problems 332. Cn5Ch. 12.2 - Prob. 20PSCh. 12.2 - Prob. 21PSCh. 12.2 - Prob. 22PSCh. 12.2 - Prob. 23PSCh. 12.2 - Prob. 24PSCh. 12.2 - Prob. 25PSCh. 12.2 - Prob. 26PSCh. 12.2 - Prob. 27PSCh. 12.2 - Prob. 28PSCh. 12.2 - Prob. 29PSCh. 12.2 - Prob. 30PSCh. 12.2 - Prob. 31PSCh. 12.2 - Prob. 32PSCh. 12.2 - A bag contains 12 pieces of candy. 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How many pentagons...Ch. 12.2 - Prob. 59PSCh. 12.2 - Prob. 60PSCh. 12.3 - IN YOUR OWN WORDS State the fundamental counting...Ch. 12.3 - Prob. 2PSCh. 12.3 - A Women selects an outfit consisting of a skirt,...Ch. 12.3 - If a state issued licence plates using the scheme...Ch. 12.3 - Prob. 5PSCh. 12.3 - Prob. 6PSCh. 12.3 - Prob. 7PSCh. 12.3 - New York license plates consist of three letters...Ch. 12.3 - Boats often relay messages by using flags. How...Ch. 12.3 - If a family has seven children, in how many ways...Ch. 12.3 - A certain lock has four tumblers, and each tumbler...Ch. 12.3 - Prob. 12PSCh. 12.3 - Prob. 13PSCh. 12.3 - Prob. 14PSCh. 12.3 - Prob. 15PSCh. 12.3 - You flip a coin n times and keep a record of the...Ch. 12.3 - Prob. 17PSCh. 12.3 - Prob. 18PSCh. 12.3 - Many states offer personalized license plates. 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