Mrs and Mr Sharma, and Mrs and Mr Ahuja along with four other persons are to be seated at a round table for dinner. If Mrs and Mr Sharma are to be seated next to each other, and Mrs and Mr Ahuja are…

Question

Mrs and Mr Sharma, and Mrs and Mr Ahuja along with four other persons are to be seated at a round table for dinner. If Mrs and Mr Sharma are to be seated next to each other, and Mrs and Mr Ahuja are not to be seated next to each other, then the total number of seating arrangements is

Accepted Answer

A - 960. There are $960$ arrangements. Grouping the Sharmas gives $2\cdot6!=1440$ arrangements, and grouping both couples gives $2^2\cdot5!=480$ to subtract. The value $1200$ subtracts just $2\cdot5!$, leaving in one of the two internal orders of the Ahujas.

Answer

B - 480

Answer

C - 1440

Answer

D - 1200

Mrs and Mr Sharma, and Mrs and Mr Ahuja along with four other persons are to be seated at a round table for dinner. If Mrs and Mr Sharma are to be seated next to each other, and Mrs and Mr Ahuja are…

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