At the Clone Zone School a class of 10 identical boys and 8 identical girls go to a cafeteria. There are three registers : A, B and C. In how many ways can the students line up at the three registers?© BrainMass Inc. brainmass.com February 4, 2021, 6:39 pm ad1c9bdddf
There are 18 students - 10 boys and 8 girls - and three lines. We can do this by including two "divider" objects that are also identical. I'll show this with an example permutation:
The vertical lines are the dividers and ...
This solution is comprised of 172 words and investigates a "N Objects in P Containers" type permutation question. The solution is well presented and can be easily applied to similar problem types in the future.