Question

Find the number of different possible license plates that consist of 2 letters followed by 5 digits if both digits and letters can be repeated.

Answer 1

Answer:

67600000 possible licence plate numbers

Step-by-step explanation:

67600000 possible licence plate numbers

Number of choices for first letter of licence plate = 26

Number of choices for the second letter of license plate = 26

That is number of choices for the first two letters of the licence plate = 26×26 = 676

The number of choices for the first number of the licence plate = 10, also for the second there are 10 choices, the third 10, the fourth has 10 choices and the fifth has 10 choices

As such, the next 5 digits can be selected in 10 × 10 × 10 × 10 × 10 = 100000 different ways giving 100000 different numbers. Please not that this is the same as the number of numbers between 000000 and 100000 is 100000

When the two results are combined, it is observed that there are 676 × 100000 = 67600000 possible licence plate numbers