Question

Suppose a licence plate contains two letters followed by
three digits with the first digit not zero. How many different
licence plates can be printed? (Repetition is allowed) *​

Answer 1

Answer:

Letter=26×26=676

Digit=9×9×10=810

=810+676=1486

So total 1486 licence plate can be printed

Answer 2

Answer:

Total number of ways = 1576

Step-by-step explanation:

In the question,

Number of letters in the license plate = 2

Number of digits = 3

Now,

Total number of alphabets = 26

Total numbers = 10 (including 0).

Now,

As the repetition is allowed we know that,

The number of ways are given by,

$26 \times 26$ for the letters.

And,

The number of ways are given by,

$9\times 10\times 10$ for the numbers.

Therefore, the total number of ways are (26 x 26) + (9 x 10 x 10) = 1576

Therefore, we can print 1576 license plates.