Answer:
There are 151,200 possible license plates.
Step-by-step explanation:
The order in which the digits are positioned is important(for example, 012345 is a different plate than 102345). No repeat digits are allowed, which means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
There are 10 possible digits(from 0 to 9).
The plate has 6 slots.
So
[tex]P_{(10,6)} = \frac{10!}{(10-6)!} = 151200[/tex]
There are 151,200 possible license plates.
