Answer:
This can be done in 3,060 ways.
Step-by-step explanation:
Letters are chosen without replacement, and the order does not matter, which means that the combinations formula is used.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Four letters from a set of 18. So
[tex]C_{18,4} = \frac{18!}{4!14!} = 3060[/tex]
This can be done in 3,060 ways.
