Question

Use generating functions to determine the number of different ways 15 identical stuffed
animals can be given to six children so that each child receives at least one but no
more than three stuffed animals.

Answer 1

Answer:

All right. So here we have seven students, so we know we're gonna have seven factorial. I got one of the car. Wanted a one person. We have a room for two people. So to we're gonna be in that room and a room for three people. So one of the three you're gonna be in that room. How many different ways can they be in those rooms? So that's gonna be seven times, six times, five times for And if we stop there, that's gonna take out the three Divide about to basically times one. And so if we reduce that, we're gonna have seven times, six times, five times two and so we're gonna have 420 ways those students could sleep