6.6.21 Combinatorics

Problem: A company of 8 people went fishing. In order to organize dinner and overnight stay, they need to prepare firewood, make a fire, prepare food, and put up tents. To complete all these tasks, it is necessary for them to split into groups "firemakers", “cooks", "house builders". a) How many different ways are there for such a division if no group should include less than 2 people? b) How many different ways are there to sleep in three completely identical tents, without being arranged one by one?