How many ways can a committee of 2 be selected from a club with 12 members?
A. 2
B. 33
C. 132
D. 66
Final Answer: \(\boxed{66}\)
Step 1 :This problem is about selecting a committee of 2 members from a club with 12 members. The order in which we select the members does not matter, so this is a combination problem.
Step 2 :The formula for combinations is \(C(n, k) = \frac{n!}{k!(n-k)!}\), where n is the total number of items, k is the number of items to choose, and '!' denotes factorial.
Step 3 :In this case, n=12 and k=2.
Step 4 :Substituting these values into the formula, we get \(C(12, 2) = \frac{12!}{2!(12-2)!} = 66\).
Step 5 :So, there are 66 ways to select a committee of 2 from a club with 12 members.
Step 6 :Final Answer: \(\boxed{66}\)