before the early 1990s, a telephone area code in the us consisted of three digits, where the first was not 0 or 1, the second was 0 or 1, and the third was anything except 0. how many area codes were possible?



Answer :

Number of possible area codes = 144

The telephone area codes consist 3 digits.

The possible digits are 1, 2, 3,4,5,6,7,8,9,0. That is, a total of 10 digits.

The first digit was not 0 or 1. So the remaining are 2,3,4,5,6,7,8,9. There are 8 possibilities in first place.

The second digit is either 0 or 1. So there are only two possibilities for second place.

The third digit was anything except 0. So the third digit has 9 possibilities.

The total possibilities of the three digit number is the product of possibilities of digits in each place.

Hence, Number of possible area codes = 8 x 2 x 9 = 144

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