a) 15! × 8!
b) 7! × 8!
c) 15C7 × 6! × 7!
d) 2 × 15C7 × 6! × 7!
Answer: c
Explanation:’n’ objects can be arranged around a circle in (n – 1)! ways.
If arranging these ‘n’ objects clockwise or counter clockwise means one and the same, then the number arrangements will be half that number.
i.e., number of arrangements = $$\frac{{\left( {n – 1} \right)!}}{2}$$
You can choose the 7 people to sit in the first table in 15C7 ways.
After selecting 7 people for the table that can seat 7 people, they can be seated in:
(7 – 1)! = 6!
The remaining 8 people can be made to sit around the second circular table in:
(8 – 1)! = 7! Ways.
Hence, total number of ways: 15C7 × 6! × 7!
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