Question

In a different plan for area codes, the first digit could be any number from 0 through 4, the second digit was either 4 or 5, and the third digit could be any number except 5. With this plan, how many

different area codes are possible?
There are possible area codes.

Answer 1

With this plan, there are 5 x 2 x 9 = 90 different area codes possible.

For the first digit, there are 5 options (0 through 4).

For the second digit, there are 2 options (4 or 5).

For the third digit, there are 9 options (0 through 4 and 6 through 9, excluding 5).

So the total number of possible area codes is the product of these three numbers: 5 x 2 x 9 = 90.

Explanation: