In the state of Georgia, telephone numbers consists of 10 digits, including the area code. One of these area codes is 770. The first digit following the area code cannot be 1 or 0. Find the number of possibilities for telephone numbers in area code 770. How many different telephone numbers in this area code are possible if only even digits are used? show your work.

P(n) = 8 * 10^6 = ?

P(even) = 4^7 = ?

To find the number of possibilities for telephone numbers in the 770 area code in Georgia, we need to consider the restrictions given:

1. The first digit following the area code cannot be 1 or 0.
2. Only even digits are used.

Step 1: Count the number of choices for each digit in the telephone number:

- For the first digit, since it cannot be 1 or 0, there are 8 choices (2, 3, 4, 5, 6, 7, 8, 9).
- For the second digit, since any digit can be chosen (even or odd), there are 10 choices (0-9).
- For the remaining digits (8 digits in total), since only even digits can be used, there are 5 choices (0, 2, 4, 6, 8) for each digit.

Step 2: Multiply the number of choices for each digit:

8 choices for the first digit * 10 choices for the second digit * 5 choices for each of the remaining 8 digits = 8 * 10 * 5^8 = 16,000,000 possibilities.

Therefore, there are 16,000,000 different telephone numbers in the 770 area code in Georgia if only even digits are used.