How many possible phone numbers can be assigned using this system
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How many possible phone numbers can be assigned using this system

[From: ] [author: ] [Date: 11-05-07] [Hit: ]
How many different phone numbers are there in a single area code if the first digit cannot be zero?How many different phone numbers are possible using a 3-digit area code and a 7-digit phone number if the first digit of the area code and phone number cannot be zero?A shipping service offers to send packages by ground delivery using 2 different companies, by next day air using 3 different companies, and by 2-day air using 3 different companies. How many different shipping options does the company offer?......
In Sharon Springs, Kansas, all of the phone numbers begin 852-4. The only differences in the phone numbers are the last 3 digits. How many possible phone numbers can be assigned using this system?

Many large cities have run out of phone numbers and so a new area code must be introduced. How many different phone numbers are there in a single area code if the first digit cannot be zero?

How many different phone numbers are possible using a 3-digit area code and a 7-digit phone number if the first digit of the area code and phone number cannot be zero?

A shipping service offers to send packages by ground delivery using 2 different companies, by next day air using 3 different companies, and by 2-day air using 3 different companies. How many different shipping options does the company offer?

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In Sharon Springs, Kansas, all of the phone numbers begin 852-4. The only differences in the phone numbers are the last 3 digits. How many possible phone numbers can be assigned using this system?

10 * 10 * 10 = 1000

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Many large cities have run out of phone numbers and so a new area code must be introduced. How many different phone numbers are there in a single area code if the first digit cannot be zero?

(area code) _ _ _ - _ _ _ _

First digit cannot be zero (must be 1-9)
All other digits can be 0-9

9 * 10 * 10 * 10 * 10 * 10 * 10 = 9,000,000

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How many different phone numbers are possible using a 3-digit area code and a 7-digit phone number if the first digit of the area code and phone number cannot be zero?

_ _ _ - _ _ _ - _ _ _ _

^ ........ ^ : Digits 1 through 9
All others: Digits 0 through 9

9 * 10 * 10 * 9 * 10 * 10 * 10 * 10 * 10 * 10 = 8,100,000,000

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A shipping service offers to send packages by ground delivery using 2 different companies, by next day air using 3 different companies, and by 2-day air using 3 different companies. How many different shipping options does the company offer?

Since all methods of delivery are independent, just add them (i.e. you will NOT be using ground delivery AND 2-day air delivery, or next day air delivery AND 2-day air delivery).

2 + 3 + 3 = 8
1
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