The problem involves determining the number of ways to divide 8 different items into two groups, one containing 5 items and the other containing 3 items.
Multiple interpretations of the problem are being explored, with participants offering different approaches to the counting method. Some guidance has been provided regarding the relationship between the groups.
Participants are questioning the assumptions behind the counting methods and whether different approaches yield the same result.
lionely said:Homework Statement
In how many ways can 8 different things be divided into groups of 5 and 3.
Homework Equations
The Attempt at a Solution
I thought it be just be 8C5 X 8C3
but also might it be 8C5 x 3C3 since if you take 5 you only have 3 left to select from?