Thanks Pangolin14,
I am really pleased that you have interacted with me.
I am just going to look at the 2,1,1,0 arrangement
I do not understand how you are looking at the problem.
I see 12 arrangements of bracelets and 12 arrangements of people =144
but then for some reason, you double your answer ... I do not understand why.
Here is my logic,
FIRST assume all the bracelets are the same.
I am going to order the people so that the first person in the queue gets 2 bracelets, the next two people get 1 bracelet each and the last person gets no bracelets.
There are 4! ways to order 4 people. but it does not matter what order the middle 2 are in because they are both going to get 1 bracelet anyway so I have to divide by 2.
4!/2 = 12 ways
Now how many ways can I queue the bracelets? that would also be 4!
BUT it does not matter what order the first two are in because they are going to get given to the same person.
so that is
4!/2 = 12 ways
So I am reasonably confident that the answer is 12*12 = 144 ways