A house is getting ready for dinner table

A house is getting ready for dinner table. There are 15 members in the family, and the butler must assign 10 people to the following positions: 1 main chair, 4 on left side, 4 on right side, and 1 most further away seat. Only 3 of the family members are elderly enough to sit on the main chair, and they will not sit at any other place. The other members can sit on any seat. How many different groupings are possible?

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #59014