A web-site asks users to create a 5-symbol PIN code where first and second symbols are any letters from the English alphabet and next 3 symbols are any digits. How many different PIN codes can be created?

There are 26 letters in the alphabet and 10 digits that you can use (0,1,2,3,4,5,6,7,8,9)

As a result, we can find the number of combinations by doing the following:
26 x 26 x 10 x 10 x 10
since the first two symbols are alphabets and the last three are digits. After doing the math you get
26 x 26 x 10 x 10 x 10 = 676000 => You can make a total of 676,000 PIN codes

26*26*10^3 = ?

To calculate the number of different PIN codes that can be created, we need to determine the number of choices for each symbol and then multiply those choices together.

For the first symbol, there are 26 choices (all the letters of the English alphabet). For the second symbol, there are also 26 choices.

For the next three symbols, which are digits, there are 10 choices for each symbol (from 0 to 9).

To find the total number of PIN codes, we multiply the choices together:

Number of choices for the first symbol = 26
Number of choices for the second symbol = 26
Number of choices for the third symbol = 10
Number of choices for the fourth symbol = 10
Number of choices for the fifth symbol = 10

Total number of PIN codes = 26 * 26 * 10 * 10 * 10 = 676,000

Therefore, there are 676,000 different PIN codes that can be created based on these criteria.

To determine the number of different PIN codes that can be created, we need to calculate the number of choices for each symbol and then multiply those choices together.

For the first symbol, any letter from the English alphabet can be chosen. Since there are 26 letters in the alphabet, there are 26 choices.

For the second symbol, again any letter from the English alphabet can be chosen. Similarly, there are 26 choices.

For the next three symbols, any digit from 0 to 9 can be chosen. Since there are 10 digits, there are 10 choices for each of the three symbols.

To calculate the total number of different PIN codes, we multiply the number of choices for each symbol together: 26 choices for the first symbol, multiplied by 26 choices for the second symbol, multiplied by 10 choices for each of the three digits.

26 * 26 * 10 * 10 * 10 = 676,000

Therefore, there are 676,000 different PIN codes that can be created.