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  • A 7-digit phone number must be created using the digits 0-9, where the first digit cannot be 0 or 1. How many different phone numbers are possible?  <d

A 7-digit phone number must be created using the digits 0-9, where the first digit cannot be 0 or 1. How many different phone numbers are possible?

 

Option: 1

6,250,000

 


Option: 2

9,500,000

 


Option: 3

1,000,000

 


Option: 4

8,000,000.


Answers (1)

best_answer

Since the first digit of the 7-digit phone number cannot be 0 or 1 , we have 8 options (digits 2-9) for the first digit. For the remaining 6 digits, we have 10 options (digits 0-9 ) for each digit.

To calculate the total number of different phone numbers possible, we need to multiply the number of options for each digit together:

\mathrm{ 8 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10=8 \times 10^6=8,000,000 . }

Therefore, there are 8,000,000 different phone numbers possible with these conditions

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