Question

(1 point) Standard automobile license plates in a country display 2 digits, followed by 3 letters, followed by 2 digits. How many different standard plates are possible in this system

Answer 1

175,760,000 possible standard plates

Explanation:

For digits, there are 10 possible values (0 to 9)

For letters, there are 26 possible alphabet (a - z)

Assuming the letter case is irrelevant.

Given that the license plate consists of;

2 digits, followed by 3 letters, followed by 2 digits

N1 = 2 digits = 10 × 10

N2 = 3 letters = 26× 26 × 26

N3 = 2 digits = 10×10

In the absence of any other conditions, the number of possible plates in this system is;

N = the product of N1, N2 and N3 above.

N = N1 × N2 × N3

N = 10×10×26×26×26×10×10

N = 175,760,000 possible standard plates