How many different possibilities of zip codes are there with a 5-digit zip code?

Question

The 5-digit zip code system for United States mail was implemented in 1963. How many different possibilities of zip codes are there with a 5-digit zip code where each digit can be 0 through 9?

In 1983, the ZIP + 4 zip code system was introduced so mail could be more easily sorted by the 5-digit zip code plus an additional 4 digits. How many different possibilities of zip codes are there with the ZIP + 4 system?

In Canada, each postal code has 6 symbols. The first, third and fifth symbols are letters of the alphabet and the second, fourth and sixth symbols are digits from 0 through 9. How many possible postal codes are there in Canada?

In the United Kingdom the postal code has 6 symbols. The first, second, fifth and sixth are letters of the alphabet and the third and fourth are digits from 0 through 9. How many possible postal codes are there in the United Kingdom?

Answer 1

The 5-digit zip code system for United States mail was implemented in 1963. How many different possibilities of zip codes are there with a 5-digit zip code where each digit can be 0 through 9?

10^5 = 100,000 different codes



In 1983, the ZIP + 4 zip code system was introduced so mail could be more easily sorted by the 5-digit zip code plus an additional 4 digits. How many different possibilities of zip codes are there with the ZIP + 4 system?

10^9 = 1,000,000,000 different codes



In Canada, each postal code has 6 symbols. The first, third and fifth symbols are letters of the alphabet and the second, fourth and sixth symbols are digits from 0 through 9. How many possible postal codes are there in Canada?

(26)(10)(26)(10)(26)(10) = 17,576,000 different codes



In the United Kingdom the postal code has 6 symbols. The first, second, fifth and sixth are letters of the alphabet and the third and fourth are digits from 0 through 9. How many possible postal codes are there in the United Kingdom?

(26)(26)(10)(10)(26)(26) = 45,697,600 different codes

Answer 2

Five Digit Zip Code

Answer 3

5! * 10^5



9! * 10^9



6! * 26^3 * 10^3



6! 26^4 * 10^2

Answer 4

For U.S:

10 numbers (0-9) therefore,

10*10*10*10*10 (10^5) number of zipcodes possible



With the +4:

10*10*10*10*10*10*10*10*10 (10^9) number of zipcodes possible



Canada: 26*10*26*10*26 number of zipcodes possible



UK: 26*26*26*26*10*10 number of zipcodes possible

Answer 5

Do you mean a postal code? There are hundreds. SW1 for example. Do you mean a telephone area code? The international code for the UK is 44 and the city code is 20.