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.)

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Final Answer: The number of different groups of 4 subjects that are possible is $101270$

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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 $101270$

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

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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.)