WILL +REP AND THANK ALL WHO HELP!

There is an example for this problem, but like, it does not show an example of how to spit out all of these combinations.. it suggests using the tree diagram, but I don't really think the tree diagram would help...

So the example with the full solution is depicted in multiple screenshots below, I would just like someone to find a way that won't take me 25 minutes to do this one problem. It's not the probability that is getting me...it's the 32 equally likely outcomes....holy....