Question

The country of Scitsitats requires thepeople in their country to have licensetags on their car such that the first 3characters are English letters but noletter may repeat. The last 3 charactersmust each be a number 0 - 9 and againno numbers can be repeated. How manylicense tags are possible?

Answer 1

SOLUTION

From the English letters, have the first 3 characters with no letter repeated will be:

$26\times25\times24$

From the numbers, we will have:

$10\times9\times8$

The number of license tags that are possible with this arrangement will be:

$26\times25\times24\times10\times9\times8=11232000$