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Chapter 9: Problem 72

A police department uses computer imaging to create digital photographs of alleged perpetrators from eyewitness accounts. One software package contains \( 195 \) hairlines, \( 99 \) sets of eyes and eyebrows, \( 89 \) noses, \( 105 \) mouths, and \( 74 \) chins and cheek structures. (a) Find the possible number of different faces that the software could create. (b) An eyewitness can clearly recall the hairline and eyes and eyebrows of a suspect. How many different faces can be produced with this information?

Short Answer

Expert verified
(a) The total number of possible faces is \( 1,570,500,195 \). \( \) (b) The number of possible faces from the eyewitness account is \( 19,305 \).

Step by step solution

01

Calculate Total Possible Faces

To find the total number of possible faces, multiply the number of options for each part of the face. So, the total will be \( 195 \times 99 \times 89 \times 105 \times 74 \).
02

Calculate possible faces based on eyewitness account

For the number of possible faces based on the eyewitness account, only use the number of possibilities for hairlines and eyes/eyebrows. Thus, the total will be \( 195 \times 99 \).

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