The Animal EvolutionDiscrete Mathematics Level 5
The jungle economy was divided into three sectors: Hunting, Entertaining and Protecting, each of which can accommodate exactly 6 animals. The only animals in the jungle are 6 lions, 6 bears, and 6 tigers. All animals are distinguishable. The lions are forbidden from working in the hunting sector, the bears are forbidden from working in the entertaining sector, and the tigers are forbidden from working in the protecting sector. In how many ways can the economy be divided among these animals if all the animals have to be given only one job?