Step 1 :The problem is asking for the combination of 12 items taken 6 at a time. This is a common problem in combinatorics and can be solved using the combination formula which is given by: \(C(n, k) = \frac{n!}{k!(n-k)!}\) where n is the total number of items, k is the number of items to choose, and '!' denotes factorial.
Step 2 :In this case, n = 12 and k = 6. So we need to calculate: \(C(12, 6) = \frac{12!}{6!(12-6)!}\)
Step 3 :The calculation gives us the combination of 12 items taken 6 at a time and rounds the result to the nearest whole number. The result is 924, which matches option A in the question.
Step 4 :Final Answer: \(\boxed{924}\)