Answer :
Given that you need to evaluate:
[tex]_{18}C_4[/tex]Therefore, you need to use the Combination Formula:
[tex]_nC_r=\frac{n!}{r!(n-r)!}[/tex]Where "n" is the total number of objects of a set and "r" is the number of objects chosen from the set.
In this case, you can identify that:
[tex]\begin{gathered} n=18 \\ r=4 \end{gathered}[/tex]Then, you can substitute values into the formula and evaluate:
[tex]_{18}C_4=\frac{18!}{4!(18-4)!}[/tex][tex]_{18}C_4=\frac{18!}{4!(14)!}[/tex][tex]_{18}C_4=3060[/tex]Hence, the answer is: Option A.