In order to conduct an experiment, 4 subjects are randomly selected from a group of 41 subjects. How many different groups of 4 subjects are possible?
The number of possible different groups is (Type a whole number.)
Answer
Final Answer: The number of different groups of 4 subjects that are possible is \(\boxed{101270}\)
Step 1 ：This problem is about combinations. We are choosing 4 subjects from a group of 41 without regard to the order in which they are chosen. 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. In this case, n=41 and k=4.
Step 2 ：Substitute n = 41 and k = 4 into the formula: \(C(41, 4) = \frac{41!}{4!(41-4)!}\)
Step 3 ：Simplify the expression to get the final answer.
Step 4 ：Final Answer: The number of different groups of 4 subjects that are possible is \(\boxed{101270}\)
