Sarah can remember only the area code and the first 3 digits of her friend’s phone number. The number has 7 digits (excluding the area code) and the last digit is not a 1. If Sarah were to dial all of the possible numbers and it takes her 15 seconds to try each one, how many hours would it take her (in total) to try each possibility? I'm not sure how to solve this. I tried 10!10!10!9! to find the last four digits and multiplied the anwser by 15 seconds to get 2.601E26 therefor about 2 and a half hours. However, I don't think this is correct.
Sarah can remember only the area code and the first 3 digits of her friend’s phone number. The number has 7 digits (excluding the area code) and the last digit is not a 1. If Sarah were to dial all of the possible numbers and it takes her 15 seconds to try each one, how many hours would it take her (in total) to try each possibility? I'm not sure how to solve this. I tried 10!10!10!9! to find the last four digits and multiplied the anwser by 15 seconds to get 2.601E26 therefor about 2 and a half hours. However, I don't think this is correct.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
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Sarah can remember only the area code and the first 3 digits of her friend’s phone number. The number has 7 digits (excluding the area code) and the last digit is not a 1. If Sarah were to dial all of the possible numbers and it takes her 15 seconds to try each one, how many hours would it take her (in total) to try each possibility?
I'm not sure how to solve this. I tried 10!10!10!9! to find the last four digits and multiplied the anwser by 15 seconds to get 2.601E26 therefor about 2 and a half hours. However, I don't think this is correct.
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