Question

A city is running out of phone numbers available for their population. They currently have 2,000,000 available phone numbers. They intend to create new area codes with the form ABC, where A can be digits 2-8, B can be digits 5-9, and C can be digits 5-9. How many TOTAL phone numbers will the city have after adding the new area codes?

Answer 1

Answer:

The total phone numbers, if the latter ABC is followed, will be 175.

Step-by-step explanation:

We are told that the digits will be in the form ABC and A can take values from 2 – 8, B from 5 – 9 and C from 5 – 9 as well.

This means:

A has 7 possible values (when you count the number of numbers between 2 and 8).

B has 5 possible values.

C has 5 possible values.

Therefore, the total phone numbers, if the latter ABC is followed, will be:

7 x 5 x 5 = 175.