Question

Customer account "numbers" for a certain company consist of 2 letters followed by 3 numbers. How many different account numbers are possible if repetitions of letters and digits are allowed?

A. 135,200
B. 676,000
C. 456,976
D. 1,000,000

Answer 1

To find the number of different account numbers possible, we multiply the number of options for each position: 26 x 26 x 10 x 10 x 10 = 676,000.

Step-by-step explanation:

To find the number of different account numbers possible, we need to calculate the total number of options for each character position.

There are 26 letters in the English alphabet, so for the first letter position, there are 26 options. Similarly, for the second letter position, there are also 26 options. For the three number positions, there are 10 options (0-9).

To find the total number of account numbers, we multiply the number of options for each position:

Total number of account numbers = Number of options for letter position 1 x Number of options for letter position 2 x Number of options for number position 1 x Number of options for number position 2 x Number of options for number position 3.

Total number of account numbers = 26 x 26 x 10 x 10 x 10 = 676,000