Question

In a different plane for area codes, the first digit could be any number from two through seven, the second digit was either 012 or three, and the third digit could be any number except six. With this plan, how many different area codes are possible?

a) 300
b) 540
c) 480
d) 420

Answer 1

To calculate the number of possible area codes, consider the options for each digit and multiply them together.

Step-by-step explanation:

To determine the number of different area codes that are possible, we need to count the number of options for each digit.

First digit: There are 6 possible options (2, 3, 4, 5, 6, 7).

Second digit: There are 4 possible options (0, 1, 2, 3).

Third digit: There are 9 possible options (0, 1, 2, 3, 4, 5, 7, 8, 9).

By multiplying these options together, we can find the total number of different area codes: 6 x 4 x 9 = 216.

Therefore, the correct answer is 216 area codes.