Question

The number of ways in which couple can sit around a table with $6$ guests, if the couple take consecutive seat is

• A. $1440$
• B. $720$
• C. $5040$
• D. none of these

Answer 1

The correct option is A $1440$

Since couples have to sit together so we treat them as one.

But they can exchange their seats in $2!$ ways.

Now, there are $6$ guest with $1$ couple that is $7$ seat to be filled on round table.

This can be done by $(7-1)!$ that is $6!$ but couple can exchange their seat in $2!$ ways

So, final answer will $6!\times 2!=1440$