(a) Explanation Calculation: Consider that the software contains 195 hairlines, 99 sets of eyes and eyebrows, 89 noses, 105 mouths, and 74 chin and cheek structures. A face structure contains one hairline, one set of eyes and eyebrows, one nose, one mouth, and one chin and cheek structure. One hairline from 195 hairlines is selected by 195 C 1 ways. One set of eyes and eyebrows from 99 sets of eyes and eyebrows is selected by 99 C 1 ways. One nose from 89 noses is selected by 89 C 1 ways. One mouth from 105 mouths is selected by 105 C 1 ways. One chin and cheek from 74 chin and cheek is selected by 74 C 1 ways. By using Fundamental counting principle, the number of possible ways a software can create faces is 195 C 1 ⋅ 99 C 1 ⋅ 89 C 1 ⋅ 105 C 1 ⋅ 74 C 1 . To compute 195 C 1 ⋅ 99 C 1 ⋅ 89 C 1 ⋅ 105 C 1 ⋅ 74 C 1 , apply the formula n C r = n ! n − r ! r ! as, 195 C 1 ⋅ 99 C 1 ⋅ 89 C 1 ⋅ 105 (b) To determine To calculate: The number of possible ways a software can create faces when the information regarding hairline and eye and eyebrows of a suspect is clear. A police department uses a software to create digital photographs of supposed culprits where the software contains 195 hairlines, 99 sets of eyes and eyebrows, 89 noses, 105 mouths, and 74 chin and cheek structures.

Bundle: College Algebra, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's College Algebra, 10th Edition, Single-Term

10th Edition

ISBN: 9781337604857

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 8.6, Problem 68E

(a)

To determine

To calculate: The number of possible ways a software can create faces, if a police department uses a software to create digital photographs of supposed culprits where the software contains 195 hairlines, 99 sets of eyes and eyebrows, 89 noses, 105 mouths, and 74 chin and cheek structures.

(b)

To determine

To calculate: The number of possible ways a software can create faces when the information regarding hairline and eye and eyebrows of a suspect is clear. A police department uses a software to create digital photographs of supposed culprits where the software contains 195 hairlines, 99 sets of eyes and eyebrows, 89 noses, 105 mouths, and 74 chin and cheek structures.

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Chapter 8.6, Problem 67E

Chapter 8.6, Problem 69E

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Chapter 8 Solutions

Bundle: College Algebra, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's College Algebra, 10th Edition, Single-Term

Ch. 8.1 - Write the first four terms of the sequence given...Ch. 8.1 - Write the first four terms of the sequence given...Ch. 8.1 - Write an expression for the apparent nth term an...Ch. 8.1 - Write the first five terms of the sequence defined...Ch. 8.1 - Prob. 5ECP Ch. 8.1 - Write the first five terms of the sequence given...Ch. 8.1 - Simplify the factorial expression 4!(n+1)!3!n!.Ch. 8.1 - Find the sum i=14(4i+1).Ch. 8.1 - For the series i=1510i find (a) the fourth partial...Ch. 8.1 - Prob. 10ECP

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The number of possible ways a software can create faces, if a police department uses a software to create digital photographs of supposed culprits where the software contains 195 hairlines, 99 sets of eyes and eyebrows, 89 noses, 105 mouths, and 74 chin and cheek structures.

Solution Summary: The author calculates the number of possible ways a software can create faces by using Fundamental counting principle.

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To calculate: The number of possible ways a software can create faces, if a police department uses a software to create digital photographs of supposed culprits where the software contains 195 hairlines, 99 sets of eyes and eyebrows, 89 noses, 105 mouths, and 74 chin and cheek structures.

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