Discussion

Explanation:

To seat 7 people in a row, we first need to select 7 people out of 16.

Number of ways of selecting 7 people out of 16 = ¹⁶C₇.

Number of ways of arranging these 7 people in a row = 7!.

∴ Total number of ways of seating 7 people in a row out of 16 = ¹⁶C₇ × 7!

Remaining 9 people can be seated around a circular table in (9 – 1)! = 8!.

∴ Total number of ways of seating 16 people around a circular table with 9 chairs & rest 7 in a row = ¹⁶C₇ × 7! × 8!

Hence, option (b).

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