2 circular tables one with 10 chairs & other with 6 chairs?
Explanation:
Table 1 with 10 chairs:
Number of ways of selecting 10 people out of 16 = 16C10.
Number of ways of arranging these 10 people around a circle = 9!
∴ Total number of ways of seating 10 people around a circle = 16C10 × 9!
Table 2 with 6 chairs:
Remaining 6 people can be seated around the 2nd table in 5! ways.
∴ ∴ Total number of ways of seating 16 people around 2 circular tables one with 10 chairs & other with 6 chairs = 16C10 × 9! × 5!
Hence, option (a).
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