Discussion

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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