Combination permutation

Ash and bradley don't like each other so they don't like sitting with eachother. There are two circular tables, one with 4 people and one with 8 people. How many combinations ate there?

Would you be able to answer this step by step

1 answer

Assuming there are 12 people to seat, then there are 10 to split between the two tables.
There are 10C3=120 ways to pick the 3 at one table
The other 7 must use the larger table.
That means there really are only 120 ways to divide up the people.