Final answer:
To find the number of ways to place 4 people into groups of 3 without regards to order, the combination formula C(4, 3) is used, resulting in 4 possible combinations.
Step-by-step explanation:
The question asks to find the number of ways to take 4 people and place them in groups of 3 where order does not matter. This is a problem of combinations where we use the formula for combinations without repetition:
C(n, k) = n! / (k! * (n - k)!).
Using this formula for our specific scenario:
n = 4 (the total number of people), and
k = 3 (the size of each group)
C(4, 3) = 4! / (3! * (4 - 3)!).
This simplifies to:
C(4, 3) = (4 * 3 * 2 * 1) / ((3 * 2 * 1) * (1)) = 4.
Therefore, there are 4 ways to group 4 people into groups of 3 where order does not matter.