Question: 6 adults and 3 children are sitting in a round table. Find the number of possible seating arrangement if none of the children sit together.
Solution: Choose 3 out of the 6 possible slots for the children to be seated between 2 adults, then multiply by 3! for the children permutation, then multiply by (6-1)! for the 6 adult circular permutation. Ans: 14400
Principle used: Slotting principle.